Calcium (Ca: 1s²2s²2p 3s 3p 4s²) crystal has a mass density of 1.55 g/cm³ and a molar mass of 40.078 g/mol. a) What type of interactions is to hold Ca atoms together in the crystal? b) Estimate the free electron concentration of Ca crystal. c) Calculate Fermi energy and Fermi velocity of electrons in Ca crystal. d) What is the probability that an electronic orbital at an energy of 6.0 eV will be occupied at room temperature (i.e., at 300 K)? e) Why do the electrons in Ca have a distribution function different from those in silicon?

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please answer part a, part b and part c

Calcium (Ca: 1s²2s²2p 3s²3p64s²) crystal has a mass density of 1.55 g/cm³ and
a molar mass of 40.078 g/mol.
a)
What type of interactions is to hold Ca atoms together in the crystal?
b) Estimate the free electron concentration of Ca crystal.
c) Calculate Fermi energy and Fermi velocity of electrons in Ca crystal.
d) What is the probability that an electronic orbital at an energy of 6.0 eV will
be occupied at room temperature (i.e., at 300 K)?
e)
Why do the electrons in Ca have a distribution function different from those
in silicon?
Transcribed Image Text:Calcium (Ca: 1s²2s²2p 3s²3p64s²) crystal has a mass density of 1.55 g/cm³ and a molar mass of 40.078 g/mol. a) What type of interactions is to hold Ca atoms together in the crystal? b) Estimate the free electron concentration of Ca crystal. c) Calculate Fermi energy and Fermi velocity of electrons in Ca crystal. d) What is the probability that an electronic orbital at an energy of 6.0 eV will be occupied at room temperature (i.e., at 300 K)? e) Why do the electrons in Ca have a distribution function different from those in silicon?
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Calcium (Ca: 1s²2s²2p 3s²3p64s²) crystal has a mass density of 1.55 g/cm³ and
a molar mass of 40.078 g/mol.
a)
What type of interactions is to hold Ca atoms together in the crystal?
b) Estimate the free electron concentration of Ca crystal.
c) Calculate Fermi energy and Fermi velocity of electrons in Ca crystal.
d) What is the probability that an electronic orbital at an energy of 6.0 eV will
be occupied at room temperature (i.e., at 300 K)?
e)
Why do the electrons in Ca have a distribution function different from those
in silicon?
Transcribed Image Text:Calcium (Ca: 1s²2s²2p 3s²3p64s²) crystal has a mass density of 1.55 g/cm³ and a molar mass of 40.078 g/mol. a) What type of interactions is to hold Ca atoms together in the crystal? b) Estimate the free electron concentration of Ca crystal. c) Calculate Fermi energy and Fermi velocity of electrons in Ca crystal. d) What is the probability that an electronic orbital at an energy of 6.0 eV will be occupied at room temperature (i.e., at 300 K)? e) Why do the electrons in Ca have a distribution function different from those in silicon?
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