Lead atoms occupy a volume of 3 x 10-29 m3. each atom contributes two free electrons. calculate the fermi velocity of lead.

The Fermi velocity of lead is 64.4 km/s.

Explanation:

To calculate the Fermi velocity, we use the equation:

where,

h = Planck's constant =

= mass of electron =

N = Number of atoms present in per volume of atom multiplied by number of electrons present in given atom =

= Avogadro's number =    (When the mass is in kilograms)

V = Volume =

M = molecular weight of lead = 207.2 g/mol

Putting values in above equation, we get:

    (Conversion factor: 1 km = 1000 m)

Hence, the Fermi velocity of lead is 64.4 km/s

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.