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[
{
"content": "Can you tell me the conventional symbol for the number $\\pi$?",
"role": "user"
},
{
"content": "$\\pi$",
"role": "assistant"
}
] |
[
{
"content": "What is the numerical value of $\\pi$?",
"role": "user"
},
{
"content": "3.14159265358979323846...",
"role": "assistant"
}
] |
[
{
"content": "Does the number $\\pi$ have any correct unit?",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] |
[
{
"content": "What's the conventional symbol used for the number $e$?",
"role": "user"
},
{
"content": "$e$",
"role": "assistant"
}
] |
[
{
"content": "What value does the number $e$ represent?",
"role": "user"
},
{
"content": "2.71828182845904523536...",
"role": "assistant"
}
] |
[
{
"content": "Is there any correct unit for the number $e$?",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] |
[
{
"content": "Which conventional symbol represents Euler's constant?",
"role": "user"
},
{
"content": "$\\gamma$",
"role": "assistant"
}
] |
[
{
"content": "What is the value of Euler's constant?",
"role": "user"
},
{
"content": "0.5772156649...",
"role": "assistant"
}
] |
[
{
"content": "Does Euler's constant have a correct unit?",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] |
[
{
"content": "What is the conventional symbol for the elementary charge?",
"role": "user"
},
{
"content": "$e$",
"role": "assistant"
}
] |
[
{
"content": "What is the value of the elementary charge?",
"role": "user"
},
{
"content": "$1.602176634\\cdot10^{-19}$",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is the elementary charge measured?",
"role": "user"
},
{
"content": "$C$",
"role": "assistant"
}
] |
[
{
"content": "What conventional symbol is used for the gravitational constant?",
"role": "user"
},
{
"content": "$G, \\kappa$",
"role": "assistant"
}
] |
[
{
"content": "Could you provide the value of the gravitational constant?",
"role": "user"
},
{
"content": "$6.67430(15)\\cdot10^{-11}$",
"role": "assistant"
}
] |
[
{
"content": "What correct unit is used for the gravitational constant?",
"role": "user"
},
{
"content": "$\\text{m}^3\\text{kg}^{-1}\\text{s}^{-2}$",
"role": "assistant"
}
] |
[
{
"content": "How do you denote the fine-structure constant?",
"role": "user"
},
{
"content": "$\\alpha = \\frac{e^2}{2hc\\varepsilon_0}$",
"role": "assistant"
}
] |
[
{
"content": "What is the approximate value of the fine-structure constant?",
"role": "user"
},
{
"content": "$\\approx\\frac{1}{137}$",
"role": "assistant"
}
] |
[
{
"content": "Is there a correct unit for the fine-structure constant?",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] |
[
{
"content": "What's the conventional symbol for the speed of light in vacuum?",
"role": "user"
},
{
"content": "$c$",
"role": "assistant"
}
] |
[
{
"content": "Can you tell me the value of the speed of light in vacuum?",
"role": "user"
},
{
"content": "$2.99792458\\cdot10^8$",
"role": "assistant"
}
] |
[
{
"content": "What is the correct unit for the speed of light in vacuum?",
"role": "user"
},
{
"content": "$\\text{m/s (def)}$",
"role": "assistant"
}
] |
[
{
"content": "What is the conventional symbol for the permittivity of the vacuum?",
"role": "user"
},
{
"content": "$\\varepsilon_0$",
"role": "assistant"
}
] |
[
{
"content": "What's the value of the permittivity of the vacuum?",
"role": "user"
},
{
"content": "$8.8541878128(13)\\cdot10^{-12}$",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is the permittivity of the vacuum expressed?",
"role": "user"
},
{
"content": "$\\text{F/m}$",
"role": "assistant"
}
] |
[
{
"content": "What conventional symbol is used to denote the permeability of the vacuum?",
"role": "user"
},
{
"content": "$\\mu_0$",
"role": "assistant"
}
] |
[
{
"content": "Can you provide the value of the permeability of the vacuum?",
"role": "user"
},
{
"content": "$4\\pi\\cdot10^{-7}$",
"role": "assistant"
}
] |
[
{
"content": "What is the correct unit for the permeability of the vacuum?",
"role": "user"
},
{
"content": "$\\text{H/m}$",
"role": "assistant"
}
] |
[
{
"content": "What is the value of $(4\\pi\\varepsilon_0)^{-1}$?",
"role": "user"
},
{
"content": "$8.9876\\cdot10^9$",
"role": "assistant"
}
] |
[
{
"content": "Which correct unit is used for $(4\\pi\\varepsilon_0)^{-1}$?",
"role": "user"
},
{
"content": "$\\text{Nm}^2\\text{C}^{-2}$",
"role": "assistant"
}
] |
[
{
"content": "How is Planck's constant conventional symbolized?",
"role": "user"
},
{
"content": "$h$",
"role": "assistant"
}
] |
[
{
"content": "What is the numerical value of Planck's constant?",
"role": "user"
},
{
"content": "$6.62607015\\cdot10^{-34}$",
"role": "assistant"
}
] |
[
{
"content": "In which correct unit is Planck's constant measured?",
"role": "user"
},
{
"content": "$\\text{Js}$",
"role": "assistant"
}
] |
[
{
"content": "What's the conventional symbol for Dirac's constant?",
"role": "user"
},
{
"content": "$\\hbar$",
"role": "assistant"
}
] |
[
{
"content": "What is the value of Dirac's constant?",
"role": "user"
},
{
"content": "$1.054571817\\cdot10^{-34}$",
"role": "assistant"
}
] |
[
{
"content": "What is the correct unit for Dirac's constant?",
"role": "user"
},
{
"content": "$\\text{Js}$",
"role": "assistant"
}
] |
[
{
"content": "How do you denote the Bohr magneton?",
"role": "user"
},
{
"content": "$\\mu_{\\rm B}$",
"role": "assistant"
}
] |
[
{
"content": "What is the value of the Bohr magneton?",
"role": "user"
},
{
"content": "$9.2740100783(28)\\cdot10^{-24}$",
"role": "assistant"
}
] |
[
{
"content": "What correct unit is the Bohr magneton measured in?",
"role": "user"
},
{
"content": "$\\text{Am}^2$",
"role": "assistant"
}
] |
[
{
"content": "What conventional symbol is used for the Bohr radius?",
"role": "user"
},
{
"content": "$a_0$",
"role": "assistant"
}
] |
[
{
"content": "Could you provide the value of the Bohr radius?",
"role": "user"
},
{
"content": "$0.529177210903(80)$",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is the Bohr radius expressed?",
"role": "user"
},
{
"content": "$\\text{\\AA}$",
"role": "assistant"
}
] |
[
{
"content": "What is the conventional symbol for the Rydberg constant?",
"role": "user"
},
{
"content": "$Ry$",
"role": "assistant"
}
] |
[
{
"content": "What is the value of the Rydberg constant?",
"role": "user"
},
{
"content": "13.605693122994(26)",
"role": "assistant"
}
] |
[
{
"content": "What correct unit is the Rydberg constant measured in?",
"role": "user"
},
{
"content": "$\\text{eV}$",
"role": "assistant"
}
] |
[
{
"content": "What's the conventional symbol for the electron Compton wavelength?",
"role": "user"
},
{
"content": "$\\lambda_{\\rm Ce}$",
"role": "assistant"
}
] |
[
{
"content": "What is the value of the electron Compton wavelength?",
"role": "user"
},
{
"content": "$2.42631023867(73)\\cdot10^{-12}$",
"role": "assistant"
}
] |
[
{
"content": "What correct unit is used for the electron Compton wavelength?",
"role": "user"
},
{
"content": "$\\text{m}$",
"role": "assistant"
}
] |
[
{
"content": "Which conventional symbol denotes the proton Compton wavelength?",
"role": "user"
},
{
"content": "$\\lambda_{\\rm Cp}$",
"role": "assistant"
}
] |
[
{
"content": "What is the value of the proton Compton wavelength?",
"role": "user"
},
{
"content": "$1.32140985539(40)\\cdot10^{-15}$",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is the proton Compton wavelength expressed?",
"role": "user"
},
{
"content": "$\\text{m}$",
"role": "assistant"
}
] |
[
{
"content": "How do you conventional symbolize the reduced mass of the hydrogen atom?",
"role": "user"
},
{
"content": "$\\mu_{\\rm H}$",
"role": "assistant"
}
] |
[
{
"content": "What's the value of the reduced mass of the hydrogen atom?",
"role": "user"
},
{
"content": "$9.1045755\\cdot10^{-31}$",
"role": "assistant"
}
] |
[
{
"content": "Which correct unit is used for the reduced mass of the hydrogen atom?",
"role": "user"
},
{
"content": "$\\text{kg}$",
"role": "assistant"
}
] |
[
{
"content": "What's the conventional symbol for the Stefan-Boltzmann constant?",
"role": "user"
},
{
"content": "$\\sigma$",
"role": "assistant"
}
] |
[
{
"content": "What is the value of the Stefan-Boltzmann constant?",
"role": "user"
},
{
"content": "$5.670374419\\cdot10^{-8}$",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is the Stefan-Boltzmann constant measured?",
"role": "user"
},
{
"content": "$\\text{Wm}^{-2}\\text{K}^{-4}$",
"role": "assistant"
}
] |
[
{
"content": "Can you tell me the conventional symbol for Wien's constant?",
"role": "user"
},
{
"content": "$k_{\\rm W}$",
"role": "assistant"
}
] |
[
{
"content": "What is the value of Wien's constant?",
"role": "user"
},
{
"content": "$2.897771955...\\cdot10^{-3}$",
"role": "assistant"
}
] |
[
{
"content": "What correct unit is Wien's constant measured in?",
"role": "user"
},
{
"content": "$\\text{mK}$",
"role": "assistant"
}
] |
[
{
"content": "What is the conventional symbol for the molar gas constant?",
"role": "user"
},
{
"content": "$R$",
"role": "assistant"
}
] |
[
{
"content": "What is the numerical value of the molar gas constant?",
"role": "user"
},
{
"content": "8.31446261815324",
"role": "assistant"
}
] |
[
{
"content": "In which correct unit is the molar gas constant expressed?",
"role": "user"
},
{
"content": "$\\text{J}\\cdot\\text{mol}^{-1}\\cdot\\text{K}^{-1}$",
"role": "assistant"
}
] |
[
{
"content": "How do you denote Avogadro's constant?",
"role": "user"
},
{
"content": "$N_{\\rm A}$",
"role": "assistant"
}
] |
[
{
"content": "What's the value of Avogadro's constant?",
"role": "user"
},
{
"content": "$6.02214076\\cdot10^{23}$",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is Avogadro's constant measured?",
"role": "user"
},
{
"content": "$\\text{mol}^{-1}$",
"role": "assistant"
}
] |
[
{
"content": "What is the conventional symbol for Boltzmann's constant?",
"role": "user"
},
{
"content": "$k$",
"role": "assistant"
}
] |
[
{
"content": "Could you provide the value of Boltzmann's constant?",
"role": "user"
},
{
"content": "$1.380649\\cdot10^{-23}$",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is Boltzmann's constant expressed?",
"role": "user"
},
{
"content": "$\\text{J/K}$",
"role": "assistant"
}
] |
[
{
"content": "What conventional symbol is used for the electron mass?",
"role": "user"
},
{
"content": "$m_{\\rm e}$",
"role": "assistant"
}
] |
[
{
"content": "What's the value of the electron mass?",
"role": "user"
},
{
"content": "$9.1093837015(28)\\cdot10^{-31}$",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is the electron mass measured?",
"role": "user"
},
{
"content": "$\\text{kg}$",
"role": "assistant"
}
] |
[
{
"content": "How do you denote the proton mass?",
"role": "user"
},
{
"content": "$m_{\\rm p}$",
"role": "assistant"
}
] |
[
{
"content": "What is the value of the proton mass?",
"role": "user"
},
{
"content": "$1.67262192369(51)\\cdot10^{-27}$",
"role": "assistant"
}
] |
[
{
"content": "Which correct unit is used for the proton mass?",
"role": "user"
},
{
"content": "$\\text{kg}$",
"role": "assistant"
}
] |
[
{
"content": "What is the conventional symbol for the neutron mass?",
"role": "user"
},
{
"content": "$m_{\\rm n}$",
"role": "assistant"
}
] |
[
{
"content": "Could you provide the value of the neutron mass?",
"role": "user"
},
{
"content": "$1.67492749804(95)\\cdot10^{-27}$",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is the neutron mass expressed?",
"role": "user"
},
{
"content": "$\\text{kg}$",
"role": "assistant"
}
] |
[
{
"content": "What conventional symbol is used for the elementary mass correct unit?",
"role": "user"
},
{
"content": "$m_{\\rm u}$",
"role": "assistant"
}
] |
[
{
"content": "What's the value of the elementary mass correct unit?",
"role": "user"
},
{
"content": "$1.66053906660(50)\\cdot10^{-27}$",
"role": "assistant"
}
] |
[
{
"content": "Which correct unit is used for the elementary mass correct unit?",
"role": "user"
},
{
"content": "$\\text{kg}$",
"role": "assistant"
}
] |
[
{
"content": "What is the conventional symbol for the nuclear magneton?",
"role": "user"
},
{
"content": "$\\mu_{\\rm N}$",
"role": "assistant"
}
] |
[
{
"content": "Could you provide the value of the nuclear magneton?",
"role": "user"
},
{
"content": "$5.050783699(31)\\cdot10^{-27}$",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is the nuclear magneton expressed?",
"role": "user"
},
{
"content": "$\\text{J/T}$",
"role": "assistant"
}
] |
[
{
"content": "How do you denote the diameter of the Sun?",
"role": "user"
},
{
"content": "$D_\\odot$",
"role": "assistant"
}
] |
[
{
"content": "What is the numerical value of the diameter of the Sun?",
"role": "user"
},
{
"content": "$1392\\cdot10^6$",
"role": "assistant"
}
] |
[
{
"content": "What correct unit is used for the diameter of the Sun?",
"role": "user"
},
{
"content": "$\\text{m}$",
"role": "assistant"
}
] |
[
{
"content": "What conventional symbol is used for the mass of the Sun?",
"role": "user"
},
{
"content": "$M_\\odot$",
"role": "assistant"
}
] |
[
{
"content": "What's the value of the mass of the Sun?",
"role": "user"
},
{
"content": "$1.989\\cdot10^{30}$",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is the mass of the Sun measured?",
"role": "user"
},
{
"content": "$\\text{kg}$",
"role": "assistant"
}
] |
[
{
"content": "How do you denote the rotational period of the Sun?",
"role": "user"
},
{
"content": "$T_\\odot$",
"role": "assistant"
}
] |
[
{
"content": "What is the value of the rotational period of the Sun?",
"role": "user"
},
{
"content": "25.38",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is the rotational period of the Sun measured?",
"role": "user"
},
{
"content": "$\\text{days}$",
"role": "assistant"
}
] |
[
{
"content": "What conventional symbol is used for the radius of Earth?",
"role": "user"
},
{
"content": "$R_{\\rm A}$",
"role": "assistant"
}
] |
[
{
"content": "Could you provide the value of the radius of Earth?",
"role": "user"
},
{
"content": "$6.378\\cdot10^6$",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is the radius of Earth measured?",
"role": "user"
},
{
"content": "$\\text{m}$",
"role": "assistant"
}
] |
[
{
"content": "What is the conventional symbol for the mass of Earth?",
"role": "user"
},
{
"content": "$M_{\\rm A}$",
"role": "assistant"
}
] |
[
{
"content": "What's the value of the mass of Earth?",
"role": "user"
},
{
"content": "$5.976\\cdot10^{24}$",
"role": "assistant"
}
] |
[
{
"content": "In what correct unit is the mass of Earth expressed?",
"role": "user"
},
{
"content": "$\\text{kg}$",
"role": "assistant"
}
] |
[
{
"content": "How do you denote the rotational period of Earth?",
"role": "user"
},
{
"content": "$T_{\\rm A}$",
"role": "assistant"
}
] |
[
{
"content": "What is the value of the rotational period of Earth?",
"role": "user"
},
{
"content": "23.96",
"role": "assistant"
}
] |
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