Constant unit

nip or nifp

1 ± 1/nifp or qf

Electromagnetic energy × s, h, at a Hz of 1

6.62606957(29) × 10−3 Js × 1 Hz, log(vn0) = 0

0

nip

0

Neutron, elemental mass, fermion, known

939.565378(21) × 106 MeV/c2,

2.2718590(01) × 1023 Hz, loge = 53.780055612(22), log(vn0) = 1

1

nip

1

n0 derived, 993.10 × 106 MeV/c2

2.40132968929221 × 1023 Hz, r.e. = 5.7 × 10−2

loge = 53.83547976, r.e. = 1.031 × 10−3

Rydberg constant, R, EM energy, boson, known

1.09737315(5) × 107 m−1, 3.28984196(17) × 1015 Hz

log(vn0) = 2/3 − 2.30112231(11) × 10?3 = 0.664365544(33)

−3

nifp

2/3 =

1 − (1/3)

R, derived 1.1357 × 107 m−1, 3.4048 × 1015 Hz

r.e. = 3.4946 × 10−2

log(vFd) = 2/3 − 2.34706 × 10?3 = 0.66431960

Bohr radius, a0, distance, known

0.52917721092(17) × 10−10 m, 5.66525639(28) × 1018 Hz

log(vn0) = 4/5 + 2.9163104(2) × 10?3 = 0.8029163(1)

−5

nifp

4/5 =

1 − (1/5)

Bohr radius, a0, derived

0.50887 × 10−10 m, 5.8913 × 1018 Hz, r.e. = 3.9901 × 10−2

log(vFd) = 4/5 + 2.8165 × 10?3 = 8.02816469

Electron, e, mass, matter, fermion, known

0.510998910 × 106eV/c2, 1.235589964(62) × 1020 Hz

log(vn0) = 6/7 + 3.08775982(16) × 10?3 = 0.86023061(04)

7

nifep

6/7 =

1 − (1/7)

Electron, e, derived

0.53393 × 106 eV/c2, 1.2910 × 1020 Hz, r.e. = 4.4881 × 10−2

log(vFd) = 6/7 + 3.017645 × 10?3 = 0.86016050

Fine structure constant, coupling constant, α, known

α, 7.29735257 × 10−3, 1/α, 137.035999(7)

−11

nifp

1/11 =

1 − (10/11)

Fine structure constant, αd, derived

7.2626 × 10−3, 1/αd, 137.69218, r.e. = 4.7656 × 10−3

Planck time squared, tP2, known

1.82611(11) × 10−86 s2,

log(vn0) = (−128/35) − 1.37371(8) × 10−2 = −3.6708799

−128/35

Derived Planck time squared, tP2d

1.5601 × 10−86 s2, r.e. = 1.4534 × 10−1

log(vFd) = (−128/35) − 1.2888554 × 10−2 = -3.67003

tP known, 5.39106(32) × 10−44 s

tP derived, 4.9839 × 10−44 s, r.e. = 7.5526 × 10−2

BH, rs = c × s known

2.0186 × 1035 kg, 2.7380 × 1085 Hz

128/35

BH, rs = c × s derived , distance light travels in one unit of time

2.3630 × 1035 kg, 3.2051 × 1085 Hz, r.e. = 1.7007 × 10−1

128/35