Sketch the shape and orientation of the following types of orbitals: (b) d _{z2}

Watch Solution

Sketch the shape and orientation of the following types of orbitals: (a) p _{x}

Watch Solution

Sketch the shape and orientation of the following types of orbitals: (c) d _{xy}

Watch Solution

Sketch the shape and orientation of the following types of orbitals: (a) s

Watch Solution

For the table that follows, write which orbital goes with the quantum numbers. Don’t worry about x, y, z subscripts. If the quantum numbers are not allowed, write “not allowed.”

Watch Solution

Which of the following represent impossible combinations of n and l: (a) 1p, (b) 4s, (c) 5f, (d) 2d?

Watch Solution

Give the values for n, l, and m _{l} for (a) each orbital in the 2p subshell

Watch Solution

Give the numerical values of n and l corresponding to each of the following orbital designations: (a) 3p

Watch Solution

How many possible values for l and m _{l} are there when (a) n = 5?

Watch Solution

How many possible values for l and m _{l} are there when (a) n = 3?

Watch Solution

(c) If m _{l} is 2, what are the possible values for l?

Watch Solution

(b) For l = 2, what are the possible values of m _{l}?

Watch Solution

(a) For n = 4, what are the possible values of l ?

Watch Solution

Calculate the uncertainty in the position of (a) an electron moving at a speed of (3.00 ∓ 0.01) x 10^{5} m/s, (b) a neutron moving at this same speed. (The masses of an electron and a neutron are given in the table of fundamental constants in the inside cover of the text.) (c)What are the implications of these calculations to our model of the atom?

Watch Solution

Calculate the uncertainty in the position of (b) a neutron moving at this same speed. (The masses of an electron and a neutron are given in the table of fundamental constants)

Watch Solution

Calculate the uncertainty in the position of (a) an electron moving at a speed of (3.00 ∓ 0.01) x 10^{5} m/s

Watch Solution

Using Heisenberg’s uncertainty principle, calculate the uncertainty in the position of (b) a proton moving at a speed of (5.00 ± 0.01) x 10^{4} m/s.

Watch Solution

Using Heisenberg’s uncertainty principle, calculate the uncertainty in the position of (a) a 1.50-mg mosquito moving at a speed of 1.40 m/s if the speed is known to within ∓0.01 m/s

Watch Solution

The electron microscope has been widely used to obtain highly magnified images of biological and other types of materials. When an electron is accelerated through a particular potential field, it attains a speed of 8.95 x 10^{6} m/s. What is the characteristic wavelength of this electron? Is the wavelength comparable to the size of atoms?

Watch Solution

Neutron diffraction is an important technique for determining the structures of molecules. Calculate the velocity of a neutron needed to achieve a wavelength of 0.955 Å. (Refer to the inside cover for the mass of the neutron).

Watch Solution

Among the elementary subatomic particles of physics is the muon, which decays within a few nanoseconds after formation. The muon has a rest mass 206.8 times that of an electron. Calculate the de Broglie wavelength associated with a muon traveling at a velocity of 8.85 x 10^{5} cm/s.

Watch Solution

Use the de Broglie relationship to determine the wavelengths of the following objects: (d) an ozone (O_{3}) molecule in the upper atmosphere moving at 550 m/s.

Watch Solution

Use the de Broglie relationship to determine the wavelengths of the following objects: (c) a lithium atom moving at 2.5 x 10^{5} m/s

Watch Solution

Use the de Broglie relationship to determine the wavelengths of the following objects: (b) a 10.0-g bullet fired at 250 m/s

Watch Solution

Use the de Broglie relationship to determine the wavelengths of the following objects: (a) an 85-kg person skiing at 50 km/hr

Watch Solution