Is the "gas" of free electrons in a metall all electrons in the metall? If not,...

Is the "gas" of free electrons in a metall all electrons in the metall? If not, which ones are in the "gas"?

Expert Solution

genius_generous answered 2 months ago

Show that electrons in states near the conduction band minimum behave as free electrons with an...

Show that electrons in states near the conduction band minimum behave as free electrons with an 'effective mass' m. (Hint: Expand the dispersion relation E(k) locally into a Taylor series)

Gas phase transition metals, when ionized, lose their s-electrons first and the remaining electrons redistribute themselves...

Gas phase transition metals, when ionized, lose their s-electrons first and the remaining electrons redistribute themselves in the d-orbitals (with some exceptions as discussed in class). To understand this phenomenon, calculate the Zeff for the 4s and 3d-electrons separately for the following atoms: Sc, Ti, V, Mn, Fe and Ni. On the basis of the Zeff, which of the electrons (4s or 3d) would be removed first? Ionize each of these atoms to their monopositive ions (i.e. Ti to Ti+...

Nonmetals gain electrons under certain conditions to attain a noble-gas electron configuration. How many electrons must...

Nonmetals gain electrons under certain conditions to attain a noble-gas electron configuration. How many electrons must be gained by the element C?

Metals lose electrons under certain conditions to attain a noble-gas electron configuration. How many electrons must...

Metals lose electrons under certain conditions to attain a noble-gas electron configuration. How many electrons must be lost by the element Li?

A5) i) The journey of free electrons from the emitter to the collector in a NPN...

A5) i) The journey of free electrons from the emitter to the collector in a NPN BJT consists of two parts. What are they ? ii) A NPN BJT is made of two pn junctions, base/emitter junction and base/collector junction. Which pn junction is thicker and why ? iii) How can you eliminate a pn junction? iv) How can you increase or decrease the width of a pn junction?

Derive the density of states for free electrons as a function of energy E in 1)...

Derive the density of states for free electrons as a function of energy E in 1) one-dimension, 2) twodimension, and 3) three-dimension (N=total number of electrons, m=electron mass, V=volume of solid) (Hint: First, derive the total number of electrons as a function of k)

A dye molecule has electrons that are free to travel up and down a chain of...

A dye molecule has electrons that are free to travel up and down a chain of atoms, giving electron energy states that are given by the particle-in-a-box model, with En=(0.34eV)n2. What are the three longest wavelengths of visible light that the molecule will absorb?

Consider a neutral plasma (a gas of electrons and positive ions) with electron density n. At...

Consider a neutral plasma (a gas of electrons and positive ions) with electron density n. At high frequencies, because the ions are very heavy, we can consider them to be essentially fixed and any current due solely to the much lighter electrons. The total charge density can be set to zero for an electrically neutral gas. If E(t) = E_0*e^(-iwt), use Newtonian physics to find the current density J(t) in terms of w (omega), n, E(t), and the electron mass...

A) Electrons accelerated by a potential difference of 13.16 V pass through a gas of hydrogen...

A) Electrons accelerated by a potential difference of 13.16 V pass through a gas of hydrogen atoms at room temperature. Calculate the wavelength of light emitted with the longest possible wavelength. B) Calculate the wavelength of light emitted with the shortest possible wavelength.

select all of the following that are true: a) protons are in the nucleus and electrons...

select all of the following that are true: a) protons are in the nucleus and electrons are relatively far from the nucleus. b) protons and electrons are both present in the nucleus held together by coulombic forces resulting from their opposite charges. c) Electrons in an atom can exist at any energy d) Electrons in an atom can only exist at specific energies. e) Bohr's model states that electrons exist at specific distances from the atom f) Light of specific...

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