b3

δ = 6.57*10^-20

-5 δ/2/π/26/4.8032^2/10^-20/
          8.1/10^-29

c1

E1 = -5.42927; E2 = -3.19312; E3 = -0.95458; E4 = 0.71480; 
    E5 = 2.96479; E6 = 5.21212;
b1 = 0.032; b2 = 0.019; b3 = 0.0086; b4 = 0.0065; b5 = 0.018; 
    b6 = 0.031;

Mittelwert δ

δ = (E1 + E2 + E3 + E4 + E5 + E6)/6

δb = 
      Sqrt[(b1/E1)^2 + (b2/E2)^2 + (b3/E3)^2 + (b4/
                E4)^2 + (b5/E5)^2 + (b6/E6)^2]

δb δ

Δb = 
      Sqrt[b1^2 + b2^2 + b3^2 + b4^2 + b5^2 + b6^2]

gewichteter Mittelwert δ

(E1/b1^2 + E2/b2^2 + E3/b3^2 + E4/b4^2 + E5/b5^2 + 
          E6/b6^2)/(1/b1^2 + 1/b2^2 + 1/b3^2 + 1/b4^2 + 1/b5^2 + 
          1/b6^2)

Sqrt[b1^2 + b2^2 + b3^2 + b4^2 + b5^2 + b6^2]

0.09849538893387205`*48

0.05278456213704912`*48

c2

E1 = -5.42927; E2 = -3.19312; E3 = -0.95458; E4 = 0.71480; 
    E5 = 2.96479; E6 = 5.21212;
b1 = 0.032; b2 = 0.019; b3 = 0.0086; b4 = 0.0065; b5 = 0.018; 
    b6 = 0.031;

gewichteter Mittelwert ΔEa

a1 = E1 - E2; a2 = E2 - E3; a3 = E4 - E5; a4 = E5 - E6;

c1 = b1^2 + b2^2; c2 = b2^2 + b3^2; c3 = b4^2 + b5^2; 
    c4 = b5^2 + b6^2;

ΔEa = (a1/c1 + a2/c2 + a3/c3 + a4/c4)/(1/c1 + 
            1/c2 + 1/c3 + 1/c4)

ca = Sqrt[c1 + c2 + c3 + c4]

gewichteter Mittelwert ΔEg

d1 = E4 - E2; d2 = E5 - E3;
e1 = b4^2 + b2^2; e2 = b5^2 + b3^2;

ΔEg = (d1/e1 + d2/e2)/(1/e1 + 1/e2)

eg = Sqrt[e1 + e2]

magnetisches Moment im angeregten Zustand μa

μ = 0.0905;

μa = 3 μ ΔEa/ΔEg

δμa = 
      Sqrt[(eg/ΔEg)^2 + (ca/ΔEa)^2]

δμa Abs[μa]

c3

μg = 
      0.0905 5.05078317 10^-27; ΔEG = ΔEg 48 1.602 10^-19 10^-9;

Hyperfeinfeld H am Kernort

H = ΔEG/2/μg

δH = eg/ΔEg

δH H

c4

A = 3.4 10^-6; 
    T = 293.15; ΔA = 0.2 10^-6;

H0 = H/(1 - A T^(3/2))

δH0 = Sqrt[δH^2 + (ΔA/A)^2]

δH0 H0

d

δ experimentell

δ77 = -0.08397; δ293 = -0.13934; a77 = 0.00359; 
    a293 = 0.00289; b = 0.014/0.829; c = 2.1 10^-2; t77 = 2/77; 
    t293 = 2/293.15;

d77 = Sqrt[(a77/δ77)^2 + b^2 + c^2 + t77^2]

e77 = Abs[δ77] d77

d293 = Sqrt[(a293/δ293)^2 + b^2 + c^2 + t293^2]

e293 = Abs[δ293] d293

Δδ = Sqrt[e77^2 + e293^2]

δ = δ77 - δ293

δ theoretisch

c = 3 10^8; R = 8.314510; M = 57 10^-3; T = 77 - 293.15; 
    Eγ = 14400; ΔT = 
      2; δT = ΔT/Abs[T];

δth = -3/2 R T Eγ /M /c^2

δth δT