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The hartree (symbol: E h), also known as the Hartree energy, is the unit of energy in the atomic units system, named after the British physicist Douglas Hartree. Its CODATA recommended value is E h = 4.359 744 722 2060 (48) × 10 −18 J [ 1 ] = 27.211 386 245 981 (30) eV .
k = 1.380 649 × 10 −23 J⋅K −1: u r (k) = 0 [13] KJ: Josephson constant: K J = 483 597.8484... × 10 9 Hz⋅V −1: u r (K J) = 0 [14] NA: Avogadro constant: N A = 6.022 140 76 × 10 23 mol −1: u r (N A) = 0 [15] NAh: molar Planck constant N A h = 3.990 312 712... × 10 −10 J⋅Hz −1 ⋅mol −1: u r (N A h) = 0 [16 ...
Hartree defined units based on three physical constants: [1]: 91 Both in order to eliminate various universal constants from the equations and also to avoid high powers of 10 in numerical work, it is convenient to express quantities in terms of units, which may be called 'atomic units', defined as follows:
a (L 2 bar/mol 2) b (L/mol) Acetic acid: 17.7098 0.1065 Acetic anhydride: 20.158 0.1263 Acetone: 16.02 0.1124 Acetonitrile: 17.81 0.1168 Acetylene: 4.516 0.0522 Ammonia: 4.225 0.0371 Aniline [2] 29.14 0.1486 Argon: 1.355 0.03201 Benzene: 18.24 0.1193 Bromobenzene: 28.94 0.1539 Butane: 14.66 0.1226 1-Butanol [2] 20.94 0.1326 2-Butanone [2] 19.97 ...
For example, the NIST document has 1 square mile = 2.589 988 E+06 square meters. The convert template has 1 square mile = 2,589,988.110336 square meters. Values for the fundamental physical constants come from the NIST Reference on Constants, Units, and Uncertainty , either the 2010 or the 2014 version.
Macroscopically, the ideal gas law states that, for an ideal gas, the product of pressure p and volume V is proportional to the product of amount of substance n and absolute temperature T: =, where R is the molar gas constant (8.314 462 618 153 24 J⋅K −1 ⋅mol −1). [4]
The molar volume of gases around STP and at atmospheric pressure can be calculated with an accuracy that is usually sufficient by using the ideal gas law. The molar volume of any ideal gas may be calculated at various standard reference conditions as shown below: V m = 8.3145 × 273.15 / 101.325 = 22.414 dm 3 /mol at 0 °C and 101.325 kPa
The ideal gas equation can be rearranged to give an expression for the molar volume of an ideal gas: = = Hence, for a given temperature and pressure, the molar volume is the same for all ideal gases and is based on the gas constant: R = 8.314 462 618 153 24 m 3 ⋅Pa⋅K −1 ⋅mol −1, or about 8.205 736 608 095 96 × 10 −5 m 3 ⋅atm⋅K ...