For Chromium () vapour at
with a number density of atoms
calculate:
i) The Larmor diamagnetic susceptibility assuming the atomic radius to be 1.2 A.
ii) The Curie paramagnetic susceptibility.
We are asked to calculate Larmor diamagnetic susceptibility and Curie paramagnetic susceptibility for chromium vapor. Let’s solve it step by step manually. --- ### Given: * Chromium: (J = 3, S = 3, Z = 24) * Temperature: (T = 1800\ \text{K}) * Number density: ( \frac{N}{V} = 5.0 \times 10^{25}\ \text{m}^{-3} ) * Atomic radius: (r = 1.2\ \text{Å} = 1.2 \times 10^{-10}\ \text{m}) * Constants: * Permeability of free space: ( \mu_0 = 4 \pi \times 10^{-7}\ \text{H/m} ) * Bohr magneton: ( \mu_B = 9.274 \times 10^{-24}\ \text{A·m}^2 ) * Boltzmann constant: ( k = 1.38 \times 10^{-23}\ \text{J/K} ) --- ## (i) Larmor Diamagnetic Susceptibility Larmor diamagnetic susceptibility per unit volume is: [ \chi_L = -\frac{\mu_0 N e^2 r^2}{6 m_e} ] _______ ____ ______ __________ _______ _____.
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