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Loschmidt constant n_0 in the 2019 SI system in unit m^(-3).
1

%I #25 Jul 06 2019 13:46:17

%S 2,6,8,6,7,8,0,1,1,1,7,9,8,4,4,3,8,2,2,4,4,8,1,5,3,1,5,7,4,4,7,3,6,8,

%T 1,1,8,4,8,2,4,0,0,2,0,3,5,2,3,2,5,5,3,8,3,8,9,1,9,9,6,8,7,4,3,1,8,9,

%U 4,4,2,4,8,0,3,9,4,9,2,4,4,9,0,7,5,7,5

%N Loschmidt constant n_0 in the 2019 SI system in unit m^(-3).

%C The Loschmidt constant is exactly 1 amagat.

%C 2006 CODATA value is 2.6867774(47) * 10^25 m^-3.

%C 2010 CODATA value is 2.6867805(24) * 10^25 m^-3.

%C Measured at 0 degrees C and 1 atm (273.15 K, 101.325 kPa).

%C From _Jianing Song_, Jul 06 2019:

%C Equals (p_0)/(k*T_0), where p_0 = A213611 = 101325 Pa is the standard pressure, k = A070063 = 1.380649*10^(-23) J/K is the Boltzmann constant and T_0 = 273.15 K is the standard temperature. In the May 20 2019 redefinition of the SI base units k is fixed to an exact value, so n_0 is also fixed to an exact value.

%C Equals (p_0*N_A)/(R*T_0), where N_A = A322578 is the Avogadro constant, R = A070064 is the molar gas constant.

%C As this constant can also be represented as 6755/2514161829 * 10^32 (see below), this sequence is purely periodic with period 1910112. (End)

%D Christian Iliadis, Nuclear Physics of Stars, WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, 2007, p. 225.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Amagat">Amagat</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Loschmidt_constant">Loschmidt constant</a>

%F Equals 101325/((1.380649*10^(-23))*273.15) (exact). - _Jianing Song_, Jul 06 2019

%e n_0 = 2.686780111... * 10^25 m^-3.

%Y Cf. A070063, A070064, A213611, A322578.

%K cons,easy,nonn

%O 26,1

%A _Arkadiusz Wesolowski_, Aug 14 2013

%E Updated to the May 20 2019 redefinition of the SI base units by _Jianing Song_, Jul 06 2019