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- Suppose that an electron with uniform mass density and a radius of 10-11 m has spin angular momentum S = √3ħ/2. Find the rotational speed of the electron at its equator.The magnetic dipole moment of the gadolinium atom is about 6.3 ✕ 10−23 A · m2. (a) Calculate the maximum magnetic dipole moment (in A · m2) of a domain consisting of 1019 gadolinium atoms. (b) What current (in A) would have to flow through a single circular loop of wire of diameter 1.2 cm to produce the magnetic dipole moment you calculated?A proton is constrained to rotate in a circle of radius 125pm around the fixed point given the rotational energy to the classical average energy at 25c calculate the value mL
- Given position-space lattice vectors a, b and c, show that the reciprocal lattice vectors (see figure) a* = 2pi b x c / a . (b x c), b* = 2pi c x a/ a . (b x c), c* = 2pi a x b/ a . (b x c) are such that a. a* = 2pi, a.b* = 0How many electrons can be in the n=5 ,l=3subshell?Estimate kBT at room temperature, and convert this energy into electronvolts (eV). Using this result, answer the following: (a) Would you expect hydrogen atoms to be ionized at room temperature? (The binding energy of an electron in a hydrogen atom is 13.6 eV.) (b) Would you expect the rotational energy levels of diatomic molecules to be excited at room temperature? (It costs about 10−4 eV to promote such a system to an excited rotational energy level.)
- Determine the bohr magnetons associated with an iron atom, given that saturation magnetization is 1.7x10^6A/m , that iron has a BCC crystal structure, and that unit cell edge length is 0.2866nm.On what factors does the orbital magnetic dipole moment of an electron depend?A tightly wound solenoid at 4.0 K is 50 cm long and is constructed from Nb wire of radius 1.5 mm. What maximum current can the solenoid carry if the wire is to remain superconducting?
- If the moment of inertia of 1H 127I is 4.31 X 10-47 kg m2 determine the both length of HI and the rotational energy at quantum number J=5 Please to respond quickly!!!If an electron in an atom has an orbital angular momentum with ml = 2, what are the components (a) Lorb,z and (b) μorb,z? If the atom is in an external magnetic field that has magnitude 33 mT and is directed along the z axis, what are (c) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (d) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? If, instead, the electron has ml = -1, what are (e) Lorb,z, (f) μorb,z, (g) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (h) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment?An electron is confined to a metal cube of l=0.8 cm on each side. Determine the density at E=0.80eV,E=2.2eV