Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1124 K, lambda=1.25, mu*=0.1.

Output:
import math

omega_log = 1124
lambda_c = 1.25
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 105.69 K (-167.46 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=883 K, lambda=2.29, mu*=0.1.

Output:
import math

omega_log = 883
lambda_c = 2.29
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 138.42 K (-134.73 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=866 K, lambda=1.43, mu*=0.1.

Output:
import math

omega_log = 866
lambda_c = 1.43
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 94.23 K (-178.92 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=966 K, lambda=3.11, mu*=0.1.

Output:
import math

omega_log = 966
lambda_c = 3.11
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 176.55 K (-96.6 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1817 K, lambda=2.71, mu*=0.1.

Output:
import math

omega_log = 1817
lambda_c = 2.71
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 311.87 K (38.72 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1319 K, lambda=1.46, mu*=0.1.

Output:
import math

omega_log = 1319
lambda_c = 1.46
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 146.5 K (-126.65 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1628 K, lambda=1.36, mu*=0.1.

Output:
import math

omega_log = 1628
lambda_c = 1.36
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 168.2 K (-104.95 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1812 K, lambda=1.54, mu*=0.1.

Output:
import math

omega_log = 1812
lambda_c = 1.54
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 211.7 K (-61.45 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1455 K, lambda=1.93, mu*=0.1.

Output:
import math

omega_log = 1455
lambda_c = 1.93
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 204.14 K (-69.01 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1731 K, lambda=3.35, mu*=0.1.

Output:
import math

omega_log = 1731
lambda_c = 3.35
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 326.07 K (52.92 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=831 K, lambda=2.84, mu*=0.1.

Output:
import math

omega_log = 831
lambda_c = 2.84
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 145.87 K (-127.28 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1268 K, lambda=1.98, mu*=0.1.

Output:
import math

omega_log = 1268
lambda_c = 1.98
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 181.13 K (-92.02 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1791 K, lambda=2.52, mu*=0.1.

Output:
import math

omega_log = 1791
lambda_c = 2.52
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 296.21 K (23.06 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1524 K, lambda=1.74, mu*=0.1.

Output:
import math

omega_log = 1524
lambda_c = 1.74
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 197.72 K (-75.43 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1688 K, lambda=2.48, mu*=0.1.

Output:
import math

omega_log = 1688
lambda_c = 2.48
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 276.8 K (3.65 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1188 K, lambda=2.84, mu*=0.1.

Output:
import math

omega_log = 1188
lambda_c = 2.84
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 208.53 K (-64.62 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=854 K, lambda=1.53, mu*=0.1.

Output:
import math

omega_log = 854
lambda_c = 1.53
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 99.17 K (-173.98 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=972 K, lambda=2.64, mu*=0.1.

Output:
import math

omega_log = 972
lambda_c = 2.64
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 164.68 K (-108.47 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1385 K, lambda=2.5, mu*=0.1.

Output:
import math

omega_log = 1385
lambda_c = 2.5
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 228.09 K (-45.06 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1474 K, lambda=2.87, mu*=0.1.

Output:
import math

omega_log = 1474
lambda_c = 2.87
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 260.0 K (-13.15 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1017 K, lambda=1.49, mu*=0.1.

Output:
import math

omega_log = 1017
lambda_c = 1.49
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 115.2 K (-157.95 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1873 K, lambda=2.91, mu*=0.1.

Output:
import math

omega_log = 1873
lambda_c = 2.91
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 332.48 K (59.33 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1258 K, lambda=2.34, mu*=0.1.

Output:
import math

omega_log = 1258
lambda_c = 2.34
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 199.71 K (-73.44 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1752 K, lambda=2.82, mu*=0.1.

Output:
import math

omega_log = 1752
lambda_c = 2.82
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 306.52 K (33.37 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1564 K, lambda=1.22, mu*=0.1.

Output:
import math

omega_log = 1564
lambda_c = 1.22
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 142.87 K (-130.28 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1441 K, lambda=3.18, mu*=0.1.

Output:
import math

omega_log = 1441
lambda_c = 3.18
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 265.82 K (-7.33 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1823 K, lambda=3.04, mu*=0.1.

Output:
import math

omega_log = 1823
lambda_c = 3.04
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 329.94 K (56.79 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1296 K, lambda=2.89, mu*=0.1.

Output:
import math

omega_log = 1296
lambda_c = 2.89
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 229.33 K (-43.82 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1848 K, lambda=2.04, mu*=0.1.

Output:
import math

omega_log = 1848
lambda_c = 2.04
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 269.4 K (-3.75 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1036 K, lambda=2.01, mu*=0.1.

Output:
import math

omega_log = 1036
lambda_c = 2.01
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 149.52 K (-123.63 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=990 K, lambda=2.01, mu*=0.1.

Output:
import math

omega_log = 990
lambda_c = 2.01
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 142.88 K (-130.27 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=972 K, lambda=2.59, mu*=0.1.

Output:
import math

omega_log = 972
lambda_c = 2.59
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 163.08 K (-110.07 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1701 K, lambda=3.5, mu*=0.1.

Output:
import math

omega_log = 1701
lambda_c = 3.5
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 325.82 K (52.67 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1835 K, lambda=1.25, mu*=0.1.

Output:
import math

omega_log = 1835
lambda_c = 1.25
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 172.55 K (-100.6 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1636 K, lambda=3.2, mu*=0.1.

Output:
import math

omega_log = 1636
lambda_c = 3.2
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 302.57 K (29.42 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1523 K, lambda=2.99, mu*=0.1.

Output:
import math

omega_log = 1523
lambda_c = 2.99
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 273.65 K (0.5 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1696 K, lambda=1.34, mu*=0.1.

Output:
import math

omega_log = 1696
lambda_c = 1.34
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 172.46 K (-100.69 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1138 K, lambda=1.79, mu*=0.1.

Output:
import math

omega_log = 1138
lambda_c = 1.79
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 150.97 K (-122.18 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1289 K, lambda=2.04, mu*=0.1.

Output:
import math

omega_log = 1289
lambda_c = 2.04
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 187.91 K (-85.24 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=807 K, lambda=2.03, mu*=0.1.

Output:
import math

omega_log = 807
lambda_c = 2.03
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 117.26 K (-155.89 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1558 K, lambda=1.75, mu*=0.1.

Output:
import math

omega_log = 1558
lambda_c = 1.75
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 203.06 K (-70.09 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1077 K, lambda=2.55, mu*=0.1.

Output:
import math

omega_log = 1077
lambda_c = 2.55
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 179.24 K (-93.91 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1683 K, lambda=3.31, mu*=0.1.

Output:
import math

omega_log = 1683
lambda_c = 3.31
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 315.53 K (42.38 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1044 K, lambda=1.88, mu*=0.1.

Output:
import math

omega_log = 1044
lambda_c = 1.88
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 143.72 K (-129.43 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1727 K, lambda=1.89, mu*=0.1.

Output:
import math

omega_log = 1727
lambda_c = 1.89
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 238.67 K (-34.48 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1802 K, lambda=1.7, mu*=0.1.

Output:
import math

omega_log = 1802
lambda_c = 1.7
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 229.42 K (-43.73 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1138 K, lambda=1.91, mu*=0.1.

Output:
import math

omega_log = 1138
lambda_c = 1.91
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 158.48 K (-114.67 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=860 K, lambda=3.48, mu*=0.1.

Output:
import math

omega_log = 860
lambda_c = 3.48
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 164.38 K (-108.77 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1043 K, lambda=2.83, mu*=0.1.

Output:
import math

omega_log = 1043
lambda_c = 2.83
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 182.78 K (-90.37 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1998 K, lambda=2.85, mu*=0.1.

Output:
import math

omega_log = 1998
lambda_c = 2.85
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 351.29 K (78.14 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=817 K, lambda=3.34, mu*=0.1.

Output:
import math

omega_log = 817
lambda_c = 3.34
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 153.72 K (-119.43 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1255 K, lambda=2.52, mu*=0.1.

Output:
import math

omega_log = 1255
lambda_c = 2.52
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 207.56 K (-65.59 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1670 K, lambda=2.28, mu*=0.1.

Output:
import math

omega_log = 1670
lambda_c = 2.28
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 261.12 K (-12.03 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=914 K, lambda=2.58, mu*=0.1.

Output:
import math

omega_log = 914
lambda_c = 2.58
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 153.04 K (-120.11 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1824 K, lambda=2.24, mu*=0.1.

Output:
import math

omega_log = 1824
lambda_c = 2.24
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 282.2 K (9.05 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1124 K, lambda=2.46, mu*=0.1.

Output:
import math

omega_log = 1124
lambda_c = 2.46
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 183.5 K (-89.65 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1029 K, lambda=1.62, mu*=0.1.

Output:
import math

omega_log = 1029
lambda_c = 1.62
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 125.78 K (-147.37 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1100 K, lambda=1.57, mu*=0.1.

Output:
import math

omega_log = 1100
lambda_c = 1.57
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 130.79 K (-142.36 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1751 K, lambda=1.6, mu*=0.1.

Output:
import math

omega_log = 1751
lambda_c = 1.6
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 211.73 K (-61.42 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1185 K, lambda=2.67, mu*=0.1.

Output:
import math

omega_log = 1185
lambda_c = 2.67
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 201.9 K (-71.25 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1752 K, lambda=3.19, mu*=0.1.

Output:
import math

omega_log = 1752
lambda_c = 3.19
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 323.61 K (50.46 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1535 K, lambda=2.72, mu*=0.1.

Output:
import math

omega_log = 1535
lambda_c = 2.72
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 263.94 K (-9.21 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1002 K, lambda=1.79, mu*=0.1.

Output:
import math

omega_log = 1002
lambda_c = 1.79
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 132.93 K (-140.22 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1569 K, lambda=3.35, mu*=0.1.

Output:
import math

omega_log = 1569
lambda_c = 3.35
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 295.55 K (22.4 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1766 K, lambda=2.12, mu*=0.1.

Output:
import math

omega_log = 1766
lambda_c = 2.12
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 264.02 K (-9.13 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=867 K, lambda=3.2, mu*=0.1.

Output:
import math

omega_log = 867
lambda_c = 3.2
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 160.35 K (-112.8 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1066 K, lambda=2.2, mu*=0.1.

Output:
import math

omega_log = 1066
lambda_c = 2.2
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 163.12 K (-110.03 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1391 K, lambda=3.22, mu*=0.1.

Output:
import math

omega_log = 1391
lambda_c = 3.22
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 257.91 K (-15.24 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1443 K, lambda=2.86, mu*=0.1.

Output:
import math

omega_log = 1443
lambda_c = 2.86
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 254.12 K (-19.03 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1947 K, lambda=3.36, mu*=0.1.

Output:
import math

omega_log = 1947
lambda_c = 3.36
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 367.18 K (94.03 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1771 K, lambda=2.54, mu*=0.1.

Output:
import math

omega_log = 1771
lambda_c = 2.54
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 294.13 K (20.98 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1397 K, lambda=2.56, mu*=0.1.

Output:
import math

omega_log = 1397
lambda_c = 2.56
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 232.97 K (-40.18 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1231 K, lambda=3.31, mu*=0.1.

Output:
import math

omega_log = 1231
lambda_c = 3.31
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 230.79 K (-42.36 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1063 K, lambda=2.36, mu*=0.1.

Output:
import math

omega_log = 1063
lambda_c = 2.36
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 169.58 K (-103.57 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1422 K, lambda=1.88, mu*=0.1.

Output:
import math

omega_log = 1422
lambda_c = 1.88
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 195.76 K (-77.39 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1617 K, lambda=2.71, mu*=0.1.

Output:
import math

omega_log = 1617
lambda_c = 2.71
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 277.54 K (4.39 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1769 K, lambda=1.33, mu*=0.1.

Output:
import math

omega_log = 1769
lambda_c = 1.33
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 178.43 K (-94.72 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1412 K, lambda=1.2, mu*=0.1.

Output:
import math

omega_log = 1412
lambda_c = 1.2
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 126.41 K (-146.74 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1127 K, lambda=3.12, mu*=0.1.

Output:
import math

omega_log = 1127
lambda_c = 3.12
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 206.25 K (-66.9 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1318 K, lambda=1.58, mu*=0.1.

Output:
import math

omega_log = 1318
lambda_c = 1.58
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 157.6 K (-115.55 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1385 K, lambda=1.87, mu*=0.1.

Output:
import math

omega_log = 1385
lambda_c = 1.87
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 189.92 K (-83.23 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1430 K, lambda=2.25, mu*=0.1.

Output:
import math

omega_log = 1430
lambda_c = 2.25
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 221.84 K (-51.31 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1021 K, lambda=2.98, mu*=0.1.

Output:
import math

omega_log = 1021
lambda_c = 2.98
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 183.18 K (-89.97 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=920 K, lambda=2.71, mu*=0.1.

Output:
import math

omega_log = 920
lambda_c = 2.71
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 157.91 K (-115.24 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1274 K, lambda=3.3, mu*=0.1.

Output:
import math

omega_log = 1274
lambda_c = 3.3
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 238.56 K (-34.59 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1874 K, lambda=2.28, mu*=0.1.

Output:
import math

omega_log = 1874
lambda_c = 2.28
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 293.02 K (19.87 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1312 K, lambda=3.48, mu*=0.1.

Output:
import math

omega_log = 1312
lambda_c = 3.48
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 250.77 K (-22.38 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1491 K, lambda=2.47, mu*=0.1.

Output:
import math

omega_log = 1491
lambda_c = 2.47
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 243.96 K (-29.19 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1603 K, lambda=1.27, mu*=0.1.

Output:
import math

omega_log = 1603
lambda_c = 1.27
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 153.54 K (-119.61 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1097 K, lambda=3.13, mu*=0.1.

Output:
import math

omega_log = 1097
lambda_c = 3.13
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 201.03 K (-72.12 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1479 K, lambda=2.35, mu*=0.1.

Output:
import math

omega_log = 1479
lambda_c = 2.35
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 235.37 K (-37.78 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1202 K, lambda=3.34, mu*=0.1.

Output:
import math

omega_log = 1202
lambda_c = 3.34
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 226.15 K (-47.0 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1654 K, lambda=2.29, mu*=0.1.

Output:
import math

omega_log = 1654
lambda_c = 2.29
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 259.29 K (-13.86 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=978 K, lambda=1.36, mu*=0.1.

Output:
import math

omega_log = 978
lambda_c = 1.36
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 101.04 K (-172.11 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1767 K, lambda=3.49, mu*=0.1.

Output:
import math

omega_log = 1767
lambda_c = 3.49
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 338.1 K (64.95 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1116 K, lambda=2.03, mu*=0.1.

Output:
import math

omega_log = 1116
lambda_c = 2.03
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 162.15 K (-111.0 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1515 K, lambda=2.92, mu*=0.1.

Output:
import math

omega_log = 1515
lambda_c = 2.92
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 269.35 K (-3.8 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1966 K, lambda=1.84, mu*=0.1.

Output:
import math

omega_log = 1966
lambda_c = 1.84
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 266.36 K (-6.79 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1289 K, lambda=3.1, mu*=0.1.

Output:
import math

omega_log = 1289
lambda_c = 3.1
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 235.26 K (-37.89 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=829 K, lambda=2.76, mu*=0.1.

Output:
import math

omega_log = 829
lambda_c = 2.76
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 143.56 K (-129.59 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1533 K, lambda=1.9, mu*=0.1.

Output:
import math

omega_log = 1533
lambda_c = 1.9
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 212.68 K (-60.47 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1314 K, lambda=3.27, mu*=0.1.

Output:
import math

omega_log = 1314
lambda_c = 3.27
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 245.16 K (-27.99 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1668 K, lambda=3.12, mu*=0.1.

Output:
import math

omega_log = 1668
lambda_c = 3.12
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 305.26 K (32.11 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1117 K, lambda=3.24, mu*=0.1.

Output:
import math

omega_log = 1117
lambda_c = 3.24
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 207.63 K (-65.52 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1096 K, lambda=1.77, mu*=0.1.

Output:
import math

omega_log = 1096
lambda_c = 1.77
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 144.13 K (-129.02 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1510 K, lambda=3.47, mu*=0.1.

Output:
import math

omega_log = 1510
lambda_c = 3.47
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 288.3 K (15.15 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1894 K, lambda=2.95, mu*=0.1.

Output:
import math

omega_log = 1894
lambda_c = 2.95
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 338.28 K (65.13 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1666 K, lambda=2.23, mu*=0.1.

Output:
import math

omega_log = 1666
lambda_c = 2.23
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 257.06 K (-16.09 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1787 K, lambda=2.5, mu*=0.1.

Output:
import math

omega_log = 1787
lambda_c = 2.5
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 294.3 K (21.15 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1032 K, lambda=1.82, mu*=0.1.

Output:
import math

omega_log = 1032
lambda_c = 1.82
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 138.67 K (-134.48 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1885 K, lambda=2.3, mu*=0.1.

Output:
import math

omega_log = 1885
lambda_c = 2.3
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 296.26 K (23.11 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1296 K, lambda=3.46, mu*=0.1.

Output:
import math

omega_log = 1296
lambda_c = 3.46
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 247.17 K (-25.98 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1099 K, lambda=2.1, mu*=0.1.

Output:
import math

omega_log = 1099
lambda_c = 2.1
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 163.3 K (-109.85 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1223 K, lambda=2.66, mu*=0.1.

Output:
import math

omega_log = 1223
lambda_c = 2.66
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 207.99 K (-65.16 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1590 K, lambda=2.94, mu*=0.1.

Output:
import math

omega_log = 1590
lambda_c = 2.94
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 283.55 K (10.4 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1746 K, lambda=2.14, mu*=0.1.

Output:
import math

omega_log = 1746
lambda_c = 2.14
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 262.6 K (-10.55 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1177 K, lambda=3.41, mu*=0.1.

Output:
import math

omega_log = 1177
lambda_c = 3.41
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 223.24 K (-49.91 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1924 K, lambda=2.53, mu*=0.1.

Output:
import math

omega_log = 1924
lambda_c = 2.53
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 318.88 K (45.73 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=952 K, lambda=2.72, mu*=0.1.

Output:
import math

omega_log = 952
lambda_c = 2.72
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 163.7 K (-109.45 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1768 K, lambda=2.01, mu*=0.1.

Output:
import math

omega_log = 1768
lambda_c = 2.01
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 255.17 K (-17.98 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1804 K, lambda=1.91, mu*=0.1.

Output:
import math

omega_log = 1804
lambda_c = 1.91
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 251.22 K (-21.93 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=934 K, lambda=1.86, mu*=0.1.

Output:
import math

omega_log = 934
lambda_c = 1.86
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 127.57 K (-145.58 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1195 K, lambda=2.07, mu*=0.1.

Output:
import math

omega_log = 1195
lambda_c = 2.07
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 175.9 K (-97.25 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1192 K, lambda=3.46, mu*=0.1.

Output:
import math

omega_log = 1192
lambda_c = 3.46
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 227.34 K (-45.81 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=907 K, lambda=1.72, mu*=0.1.

Output:
import math

omega_log = 907
lambda_c = 1.72
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 116.58 K (-156.57 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=958 K, lambda=2.14, mu*=0.1.

Output:
import math

omega_log = 958
lambda_c = 2.14
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 144.08 K (-129.07 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1721 K, lambda=2.21, mu*=0.1.

Output:
import math

omega_log = 1721
lambda_c = 2.21
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 264.09 K (-9.06 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1538 K, lambda=2.09, mu*=0.1.

Output:
import math

omega_log = 1538
lambda_c = 2.09
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 227.82 K (-45.33 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1785 K, lambda=1.83, mu*=0.1.

Output:
import math

omega_log = 1785
lambda_c = 1.83
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 240.85 K (-32.3 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=855 K, lambda=1.58, mu*=0.1.

Output:
import math

omega_log = 855
lambda_c = 1.58
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 102.24 K (-170.91 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1483 K, lambda=2.36, mu*=0.1.

Output:
import math

omega_log = 1483
lambda_c = 2.36
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 236.58 K (-36.57 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1165 K, lambda=1.33, mu*=0.1.

Output:
import math

omega_log = 1165
lambda_c = 1.33
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 117.51 K (-155.64 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=970 K, lambda=2.85, mu*=0.1.

Output:
import math

omega_log = 970
lambda_c = 2.85
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 170.54 K (-102.61 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1169 K, lambda=3.21, mu*=0.1.

Output:
import math

omega_log = 1169
lambda_c = 3.21
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 216.48 K (-56.67 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1623 K, lambda=2.57, mu*=0.1.

Output:
import math

omega_log = 1623
lambda_c = 2.57
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 271.21 K (-1.94 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1231 K, lambda=3.14, mu*=0.1.

Output:
import math

omega_log = 1231
lambda_c = 3.14
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 225.89 K (-47.26 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1105 K, lambda=2.99, mu*=0.1.

Output:
import math

omega_log = 1105
lambda_c = 2.99
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 198.54 K (-74.61 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1281 K, lambda=3.3, mu*=0.1.

Output:
import math

omega_log = 1281
lambda_c = 3.3
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 239.88 K (-33.27 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=938 K, lambda=2.3, mu*=0.1.

Output:
import math

omega_log = 938
lambda_c = 2.3
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 147.42 K (-125.73 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1324 K, lambda=1.77, mu*=0.1.

Output:
import math

omega_log = 1324
lambda_c = 1.77
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 174.12 K (-99.03 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1872 K, lambda=1.27, mu*=0.1.

Output:
import math

omega_log = 1872
lambda_c = 1.27
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 179.3 K (-93.85 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1794 K, lambda=1.6, mu*=0.1.

Output:
import math

omega_log = 1794
lambda_c = 1.6
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 216.93 K (-56.22 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1300 K, lambda=1.86, mu*=0.1.

Output:
import math

omega_log = 1300
lambda_c = 1.86
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 177.56 K (-95.59 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1094 K, lambda=2.23, mu*=0.1.

Output:
import math

omega_log = 1094
lambda_c = 2.23
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 168.8 K (-104.35 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1070 K, lambda=2.03, mu*=0.1.

Output:
import math

omega_log = 1070
lambda_c = 2.03
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 155.47 K (-117.68 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=894 K, lambda=1.71, mu*=0.1.

Output:
import math

omega_log = 894
lambda_c = 1.71
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 114.37 K (-158.78 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1418 K, lambda=3.17, mu*=0.1.

Output:
import math

omega_log = 1418
lambda_c = 3.17
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 261.24 K (-11.91 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1201 K, lambda=1.8, mu*=0.1.

Output:
import math

omega_log = 1201
lambda_c = 1.8
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 160.02 K (-113.13 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=854 K, lambda=1.68, mu*=0.1.

Output:
import math

omega_log = 854
lambda_c = 1.68
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 107.67 K (-165.48 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1527 K, lambda=1.9, mu*=0.1.

Output:
import math

omega_log = 1527
lambda_c = 1.9
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 211.84 K (-61.31 °C)


Instruction: Calculer la temperature critique Tc d un supraconducteur BCS selon la formule d Allen-Dynes avec omega_log=1962 K, lambda=3.03, mu*=0.1.

Output:
import math

omega_log = 1962
lambda_c = 3.03
mu_star = 0.1

numerator = 1.04 * (1.0 + lambda_c)
denominator = lambda_c - mu_star * (1.0 + 0.62 * lambda_c)

tc_k = (omega_log / 1.2) * math.exp(-numerator / denominator)
tc_c = tc_k - 273.15

print(f"Température critique Tc: {tc_k:.2f} K ({tc_c:.2f} °C)")
# Tc calcule = 354.59 K (81.44 °C)


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.62 et guerison gamma=0.23 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.62
gamma = 0.23

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.7")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.48 et guerison gamma=0.26 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.48
gamma = 0.26

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.85")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.6 et guerison gamma=0.22 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.6
gamma = 0.22

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.73")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.74 et guerison gamma=0.22 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.74
gamma = 0.22

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 3.36")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.35 et guerison gamma=0.23 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.35
gamma = 0.23

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.52")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.44 et guerison gamma=0.27 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.44
gamma = 0.27

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.63")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.51 et guerison gamma=0.26 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.51
gamma = 0.26

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.96")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.51 et guerison gamma=0.29 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.51
gamma = 0.29

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.76")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.42 et guerison gamma=0.2 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.42
gamma = 0.2

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.1")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.62 et guerison gamma=0.16 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.62
gamma = 0.16

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 3.88")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.4 et guerison gamma=0.06 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.4
gamma = 0.06

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 6.67")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.69 et guerison gamma=0.14 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.69
gamma = 0.14

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 4.93")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.47 et guerison gamma=0.18 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.47
gamma = 0.18

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.61")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.43 et guerison gamma=0.29 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.43
gamma = 0.29

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.48")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.67 et guerison gamma=0.12 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.67
gamma = 0.12

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 5.58")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.76 et guerison gamma=0.12 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.76
gamma = 0.12

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 6.33")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.57 et guerison gamma=0.06 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.57
gamma = 0.06

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 9.5")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.65 et guerison gamma=0.14 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.65
gamma = 0.14

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 4.64")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.36 et guerison gamma=0.07 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.36
gamma = 0.07

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 5.14")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.37 et guerison gamma=0.17 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.37
gamma = 0.17

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.18")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.7 et guerison gamma=0.24 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.7
gamma = 0.24

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.92")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.53 et guerison gamma=0.07 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.53
gamma = 0.07

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 7.57")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.76 et guerison gamma=0.21 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.76
gamma = 0.21

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 3.62")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.42 et guerison gamma=0.06 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.42
gamma = 0.06

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 7.0")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.61 et guerison gamma=0.27 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.61
gamma = 0.27

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.26")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.54 et guerison gamma=0.12 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.54
gamma = 0.12

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 4.5")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.57 et guerison gamma=0.12 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.57
gamma = 0.12

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 4.75")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.62 et guerison gamma=0.25 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.62
gamma = 0.25

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.48")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.25 et guerison gamma=0.15 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.25
gamma = 0.15

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.67")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.66 et guerison gamma=0.27 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.66
gamma = 0.27

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.44")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.52 et guerison gamma=0.3 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.52
gamma = 0.3

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.73")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.23 et guerison gamma=0.18 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.23
gamma = 0.18

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.28")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.23 et guerison gamma=0.24 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.23
gamma = 0.24

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 0.96")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.66 et guerison gamma=0.26 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.66
gamma = 0.26

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.54")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.49 et guerison gamma=0.29 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.49
gamma = 0.29

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.69")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.22 et guerison gamma=0.29 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.22
gamma = 0.29

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 0.76")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.44 et guerison gamma=0.15 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.44
gamma = 0.15

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.93")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.59 et guerison gamma=0.08 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.59
gamma = 0.08

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 7.37")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.39 et guerison gamma=0.26 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.39
gamma = 0.26

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.5")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.65 et guerison gamma=0.16 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.65
gamma = 0.16

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 4.06")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.43 et guerison gamma=0.26 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.43
gamma = 0.26

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.65")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.38 et guerison gamma=0.26 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.38
gamma = 0.26

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.46")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.47 et guerison gamma=0.16 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.47
gamma = 0.16

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.94")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.69 et guerison gamma=0.23 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.69
gamma = 0.23

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 3.0")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.31 et guerison gamma=0.16 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.31
gamma = 0.16

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 1.94")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.45 et guerison gamma=0.16 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.45
gamma = 0.16

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.81")
print("Pics d'infections:", np.max(sol.y[1]))


Instruction: Simuler un modele epidemiologique SIR avec taux de transmission beta=0.29 et guerison gamma=0.14 via SciPy solve_ivp.

Output:
import numpy as np
from scipy.integrate import solve_ivp

beta = 0.29
gamma = 0.14

def sir(t, y):
    S, I, R = y
    N = S + I + R
    return [-beta*S*I/N, beta*S*I/N - gamma*I, gamma*I]

t_span = (0, 100)
y0 = [999, 1, 0]
sol = solve_ivp(sir, t_span, y0, t_eval=np.linspace(0, 100, 100))

print(f"Taux R0 calculé: 2.07")
print("Pics d'infections:", np.max(sol.y[1]))