353 NIST Fundamental Physical Constants

Editor’s note: This list of fundamental physical constants is directly
from the National Institute of Science and Technology (NIST).
It is replicated here to provide a one-step access to the Numerical value,
the Standard Uncertainty, the Relative standard uncertainty and the Concise form.
This list is here to compare quickly to Wikipedia’s list, the Aguirre, Rees, Tegmark, Wilczek list of 31 necessary for the Standard Model for Particle Physics, and the list of 26 by John Baez. At some time the work of Simon Plouffe, who identified over a billion such constants (computer-generated), may also be engaged.

1. Group, then rank order the constants by fundamentality, importance (use by other constants), and place (use by scholars, i.e. citations),
2. Relate to a notation or set of notations.

Background: On September 18, 2019, the Planck base units needed further definition. Assuming that what was found consistently on the web was not necessarily good enough, the expert studies of the National Institute of Science and Technology (NIST) Are there in fact 64 notations or doublings the Planck Length? …from the first moment of time? Does Planck Time encapsulate the first moment? Our analysis had begun with the help of data accrued by John Baez. It was time to come back around to that data and to analyze each judgement and conclusion that was based on the Baez work.

Each of these listings links to a concise analysis within the NIST website:

  1. alpha particle mass
  2. alpha particle mass energy equivalent
  3. alpha particle mass energy equivalent in MeV
  4. alpha particle mass in u
  5. alpha particle molar mass
  6. alpha particle relative atomic mass
  7. alpha particle-electron mass ratio
  8. alpha particle-proton mass ratio
    Key Ratio:
  9. Angstrom star
  10. atomic mass constant
  11. atomic mass constant energy equivalent
  12. atomic mass constant energy equivalent in MeV
  13. atomic mass unit-electron volt relationship
  14. atomic mass unit-hartree relationship
  15. atomic mass unit-hertz relationship
  16. atomic mass unit-inverse meter relationship
  17. atomic mass unit-joule relationship
  18. atomic mass unit-kelvin relationship
  19. atomic mass unit-kilogram relationship
  20. atomic unit of 1st hyperpolarizability
  21. atomic unit of 2nd hyperpolarizability
  22. atomic unit of action
  23. atomic unit of charge
  24. atomic unit of charge density
  25. atomic unit of current
  26. atomic unit of electric dipole moment
  27. atomic unit of electric field
  28. atomic unit of electric field gradient
  29. atomic unit of electric polarizability
  30. atomic unit of electric potential
  31. atomic unit of electric quadrupole moment
  32. atomic unit of energy
  33. atomic unit of force
  34. atomic unit of length
  35. atomic unit of magnetic dipole moment
  36. atomic unit of magnetic flux density
  37. atomic unit of magnetizability
  38. atomic unit of mass
  39. atomic unit of momentum
  40. atomic unit of permittivity
  41. atomic unit of time
  42. atomic unit of velocity
  43. Avogadro constant
  44. Bohr magneton
  45. Bohr magneton in eV/T
  46. Bohr magneton in Hz/T
  47. Bohr magneton in inverse meter per tesla
  48. Bohr magneton in K/T
  49. Bohr radius
  50. Boltzmann constant
  51. Boltzmann constant in eV/K
  52. Boltzmann constant in Hz/K
  53. Boltzmann constant in inverse meter per kelvin
  54. classical electron radius
  55. Compton wavelength
  56. conductance quantum
  57. conventional value of ampere-90
  58. conventional value of coulomb-90
  59. conventional value of farad-90
  60. conventional value of henry-90
  61. conventional value of Josephson constant
  62. conventional value of ohm-90
  63. conventional value of volt-90
  64. conventional value of von Klitzing constant
  65. conventional value of watt-90
  66. Cu x unit
  67. deuteron g factor
  68. deuteron magnetic moment
  69. deuteron magnetic moment to Bohr magneton ratio
  70. deuteron magnetic moment to nuclear magneton ratio
  71. deuteron mass
  72. deuteron mass energy equivalent
  73. deuteron mass energy equivalent in MeV
  74. deuteron mass in u
  75. deuteron molar mass
  76. deuteron relative atomic mass
  77. deuteron rms charge radius
  78. deuteron-electron magnetic moment ratio
  79. deuteron-electron mass ratio
  80. deuteron-neutron magnetic moment ratio
  81. deuteron-proton magnetic moment ratio
  82. deuteron-proton mass ratio
  83. electron charge to mass quotient
  84. electron g factor
  85. electron gyromagnetic ratio
  86. electron gyromagnetic ratio in MHz/T
  87. electron magnetic moment
  88. electron magnetic moment anomaly
  89. electron magnetic moment to Bohr magneton ratio
  90. electron magnetic moment to nuclear magneton ratio
  91. electron mass
  92. electron mass energy equivalent
  93. electron mass energy equivalent in MeV
  94. electron mass in u
  95. electron molar mass
  96. electron relative atomic mass
  97. electron to alpha particle mass ratio
  98. electron to shielded helion magnetic moment ratio
  99. electron to shielded proton magnetic moment ratio
  100. electron volt
  101. electron volt-atomic mass unit relationship
  102. electron volt-hartree relationship
  103. electron volt-hertz relationship
  104. electron volt-inverse meter relationship
  105. electron volt-joule relationship
  106. electron volt-kelvin relationship
  107. electron volt-kilogram relationship
  108. electron-deuteron magnetic moment ratio
  109. electron-deuteron mass ratio
  110. electron-helion mass ratio
  111. electron-muon magnetic moment ratio
  112. electron-muon mass ratio
  113. electron-neutron magnetic moment ratio
  114. electron-neutron mass ratio
  115. electron-proton magnetic moment ratio
  116. electron-proton mass ratio
  117. electron-tau mass ratio
  118. electron-triton mass ratio
  119. elementary charge
  120. elementary charge over h-bar
  121. Faraday constant
  122. Fermi coupling constant
  123. fine-structure constant
  124. first radiation constant
  125. first radiation constant for spectral radiance
  126. Hartree energy
  127. Hartree energy in eV
  128. hartree-atomic mass unit relationship
  129. hartree-electron volt relationship
  130. hartree-hertz relationship
  131. hartree-inverse meter relationship
  132. hartree-joule relationship
  133. hartree-kelvin relationship
  134. hartree-kilogram relationship
  135. helion g factor
  136. helion magnetic moment
  137. helion magnetic moment to Bohr magneton ratio
  138. helion magnetic moment to nuclear magneton ratio
  139. helion mass
  140. helion mass energy equivalent
  141. helion mass energy equivalent in MeV
  142. helion mass in u
  143. helion molar mass
  144. helion relative atomic mass
  145. helion shielding shift
  146. helion-electron mass ratio
  147. helion-proton mass ratio
  148. hertz-atomic mass unit relationship
  149. hertz-electron volt relationship
  150. hertz-hartree relationship
  151. hertz-inverse meter relationship
  152. hertz-joule relationship
  153. hertz-kelvin relationship
  154. hertz-kilogram relations
  155. hyperfine transition frequency of Cs-133
  156. inverse fine-structure constant
  157. inverse meter-atomic mass unit relationship
  158. inverse meter-electron volt relationship
  159. inverse meter-hartree relationship
  160. inverse meter-hertz relationship
  161. inverse meter-joule relationship
  162. inverse meter-kelvin relationship
  163. inverse meter-kilogram relationship
  164. inverse of conductance quantum
  165. Josephson constant
  166. joule-atomic mass unit relationship
  167. joule-electron volt relationship
  168. joule-hartree relationship
  169. joule-hertz relationship
  170. joule-inverse meter relationship
  171. joule-kelvin relationship
  172. joule-kilogram relationship
  173. kelvin-atomic mass unit relationship
  174. kelvin-electron volt relationship
  175. kelvin-hartree relationship
  176. kelvin-hertz relationship
  177. kelvin-inverse meter relationship
  178. kelvin-joule relationship
  179. kelvin-kilogram relationship
  180. kilogram-atomic mass unit relationship
  181. kilogram-electron volt relationship
  182. kilogram-hartree relationship
  183. kilogram-hertz relationship
  184. kilogram-inverse meter relationship
  185. kilogram-joule relationship
  186. kilogram-kelvin relationship
  187. lattice parameter of silicon
  188. lattice spacing of ideal Si (220)
  189. Loschmidt constant (273.15 K, 100 kPa)
  190. Loschmidt constant (273.15 K, 101.325 kPa)
  191. luminous efficacy
  192. magnetic flux quantum
  193. Mo x unit
  194. molar gas constant
  195. molar mass constant
  196. molar mass of carbon-12
  197. molar Planck constant
  198. molar volume of ideal gas (273.15 K, 100 kPa)
  199. molar volume of ideal gas (273.15 K, 101.325 kPa)
  200. molar volume of silicon
  201. muon Compton wavelength
  202. muon g factor
  203. muon magnetic moment
  204. muon magnetic moment anomaly
  205. muon magnetic moment anomaly
  206. muon magnetic moment to Bohr magneton ratio
  207. muon magnetic moment to nuclear magneton ratio
  208. muon mass
  209. muon mass energy equivalent
  210. muon mass energy equivalent in MeV
  211. muon mass in u
  212. muon molar mass
  213. muon-electron mass ratio
  214. muon-neutron mass ratio
  215. muon-proton magnetic moment ratio
  216. muon-proton mass ratio
  217. muon-tau mass ratio
  218. natural unit of action
  219. natural unit of action in eV s
  220. natural unit of energy
  221. natural unit of energy in MeV
  222. natural unit of length
  223. natural unit of mass
  224. natural unit of momentum
  225. natural unit of momentum in MeV/c
  226. natural unit of time
  227. natural unit of velocityneutron Compton wavelength
  228. neutron g factor
  229. neutron gyromagnetic ratio
  230. neutron gyromagnetic ratio in MHz/T
  231. neutron magnetic moment
  232. neutron magnetic moment to Bohr magneton ratio
  233. neutron magnetic moment to nuclear magneton ratio
  234. neutron mass
  235. neutron mass energy equivalent
  236. neutron mass energy equivalent in MeV
  237. neutron mass in u
  238. neutron molar mass
  239. neutron relative atomic mass
  240. neutron to shielded proton magnetic moment ratio
  241. neutron-electron magnetic moment ratio
  242. neutron-electron mass ratio
  243. neutron-muon mass ratio
  244. neutron-proton magnetic moment ratio
  245. neutron-proton mass difference
  246. neutron-proton mass difference energy equivalent
  247. neutron-proton mass difference energy equivalent in MeV
  248. neutron-proton mass difference in u
  249. neutron-proton mass ratio
  250. neutron-tau mass ratio
  251. Newtonian constant of gravitation
  252. Newtonian constant of gravitation over h-bar c
  253. nuclear magneton
  254. nuclear magneton in eV/T
  255. nuclear magneton in inverse meter per tesla
  256. nuclear magneton in K/T
  257. nuclear magneton in MHz/T
  258. Planck constant
  259. Planck constant in eV/Hz
  260. Planck length
  261. Planck mass
  262. Planck mass energy equivalent in GeV
  263. Planck temperature
  264. Planck time
  265. proton charge to mass quotient
  266. proton Compton wavelength
  267. proton g factor
  268. proton gyromagnetic ratio
  269. proton gyromagnetic ratio in MHz/T
  270. proton magnetic moment
  271. proton magnetic moment to Bohr magneton ratio
  272. proton magnetic moment to nuclear magneton ratio
  273. proton magnetic shielding correction
  274. proton mass
  275. proton mass energy equivalent
  276. proton mass energy equivalent in MeV
  277. proton mass in u
  278. proton molar mass
  279. proton relative atomic mass
  280. proton rms charge radius
  281. proton-electron mass ratio
  282. proton-muon mass ratio
  283. proton-neutron magnetic moment ratio
  284. proton-neutron mass ratio
  285. proton-tau mass ratio
  286. quantum of circulation
  287. quantum of circulation times 2
  288. reduced Compton wavelength
  289. reduced muon Compton wavelength
  290. reduced neutron Compton wavelength
  291. reduced Planck constant
  292. reduced Planck constant in eV s
  293. reduced Planck constant times c in MeV fm
  294. reduced proton Compton wavelength
  295. reduced tau Compton wavelength
  296. Rydberg constant
  297. Rydberg constant times c in Hz
  298. Rydberg constant times hc in eV
  299. Rydberg constant times hc in J
  300. Sackur-Tetrode constant (1 K, 100 kPa)
  301. Sackur-Tetrode constant (1 K, 101.325 kPa)
  302. second radiation constant
  303. shielded helion gyromagnetic ratio
  304. shielded helion gyromagnetic ratio in MHz/T
  305. shielded helion magnetic moment
  306. shielded helion magnetic moment to Bohr magneton ratio
  307. shielded helion magnetic moment to nuclear magneton ratio
  308. shielded helion to proton magnetic moment ratio
  309. shielded helion to shielded proton magnetic moment ratio
  310. shielded proton gyromagnetic ratio
  311. shielded proton gyromagnetic ratio in MHz/T
  312. shielded proton magnetic moment
  313. shielded proton magnetic moment to Bohr magneton ratio
  314. shielded proton magnetic moment to nuclear magneton ratio
  315. shielding difference of d and p in HD
  316. shielding difference of t and p in HT
  317. speed of light in vacuum
  318. standard acceleration of gravity
  319. standard atmosphere
  320. standard-state pressure
  321. Stefan-Boltzmann constant
  322. tau Compton wavelength
  323. tau energy equivalent
  324. tau mass
  325. tau mass energy equivalent
  326. tau mass in u
  327. tau molar mass
  328. tau-electron mass ratio
  329. tau-muon mass ratio
  330. tau-neutron mass ratio
  331. tau-proton mass ratio
  332. Thomson cross section
  333. triton g factor
  334. triton magnetic moment
  335. triton magnetic moment to Bohr magneton ratio
  336. triton magnetic moment to nuclear magneton ratio
  337. triton mass
  338. triton mass energy equivalent
  339. triton mass energy equivalent in MeV
  340. triton mass in u
  341. triton molar mass
  342. triton relative atomic mass
  343. triton to proton magnetic moment ratio
  344. triton-electron mass ratio
  345. triton-proton mass ratio
  346. unified atomic mass unit
  347. vacuum electric permittivity
  348. vacuum magnetic permeability
  349. von Klitzing constant
  350. W to Z mass ratio
  351. weak mixing angle
  352. Wien frequency displacement law constant
  353. Wien wavelength displacement law constant

What is the path from a dimensionless physical constant to a fundamental physical constant? What is dimensional analysis? See the Buckingham π theorem and nondimensionalization and natural units and system of measurement.

What are the dimensionless physical constants?

What is the hierarchy problem?

Planck units use the gravitational constant G  (a constant of proportionality) measured in a laboratory to just four digits. The modern notation of Newton’s law involving G was introduced in the 1890s by C. V. Boys. The first implicit measurement with an accuracy within about 1% is attributed to Henry Cavendish in a 1798 experiment