How Do You Calculate µB Using Quantum Mechanics Equations?

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SUMMARY

This discussion focuses on calculating the magnetic moment (µB) using quantum mechanics equations, specifically with the provided values of wavelength (λ = 585.2 nm), change in wavelength (Δλ = 5.44 * 10-15 m), magnetic field (B = 0.383 T), and Planck's constant (h = 6.626 * 10-34 J m2kg/s). The participants explored two methods for calculating the frequency shift (Δν) but encountered difficulties due to uncertainties regarding the initial wavelength (λ0). The correct approach involves using the relationship Δν = c[1/λ - 1/(λ - Δλ)] to derive the required values.

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Homework Statement


Calculate µB given the following
Δλ = 5.44 * 10-15 m
B=0.383 T
h=6.626*10-34 J m2kg/s
λ = 585.2 nm

Homework Equations



Δν = ± µBB/h
λν = c

The Attempt at a Solution



Well I attempted it two ways however I didn't really get past the first step

First method: Δν = v-v0 = c[1/λ - 1/λ0] but I don't know what λ0 or λ is

Second method: λ= 1/v so λ/Δλ = v/Δν but v is unknown so I couldn't really solve for Δνunless I just said v=c/λ.
 
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jasonchiang97 said:
but I don't know what λ0 or λ is
but you just said that λ = 585.2 ?! and you have Δλ so :

Δλ = λ - λ0
λ0 = (λ - Δλ)
Δν = c[1/λ - 1/(λ - Δλ)]
 

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