(a)
Interpretation:
The sketch of contour surface for orbital with
Concept Introduction:
Erwin Schrödinger gave a model to describe the behavior of an electron in atoms through a wave function. The wave function is defined as a mathematical function for an electron wave that gives the amplitude of the wave at any point in space. It is represented by a Greek letter
The wave function of an electron has no physical significance but when the square of its absolute magnitude takes then it gives a probability of finding the electron at any particular point of time.
The expression of the probability of finding electrons is as follows:
The acceptable wave function is characterized by a set of four quantum numbers. These quantum numbers are related to the shape, size of the electron wave and the location of the electron in space.
1. These quantum numbers are represented by
2. The notation of subshell is used to determine by a combination of both principal quantum number and angular quantum number. In notation, numerical values of
3. The quantum number
4. The quantum number
(b)
Interpretation:
The sketch of contour surface for
Concept Introduction:
Refer to part (a).
(c)
Interpretation:
The sketch of contour surface for
Concept Introduction:
Refer to part (a).
(d)
Interpretation:
The sketch of contour surface for orbital with
Concept Introduction:
Refer to part (a).
(e)
Interpretation:
The sketch of contour surface for orbital with
Concept Introduction:
Refer to part (a).
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Chemistry: Principles and Practice
- Give the name, magnetic quantum numbers, and number of orbitals for the sublevel that has the given n and l quantum numbers: (a) n = 3, l= 2 (b) n= 2, l = 0 (c) n = 5, l = 1 (d) n =5 4, l= 3arrow_forward35, Identify the subshell in which electrons with the following quantum numbers are found: (a) n = 2, l = 1 (b) n = 4, l = 2 (c) n = 6, l = 0arrow_forwardLabel the orbitals described by each of the following sets of quantum numbers: (a) n = 3, € = 2 (b) n = 7, l = 4 (c) n = 5, € = 1arrow_forward
- Give the name, magnetic quantum numbers, and number of orbitals for the sublevel that hasthe given n and l quantum numbers: (a) n=3, l=1 (b) n=2, l=1 (c) n=5, l =1 (d) n =4, l =2arrow_forwardWhich of the following sets of quantum numbers is not allowed? (a) n = 3, l = 0, ml = -1 (b) n = 2, l = 1, ml = 0 (c) n = 3, l = 2, ml = -1 (d) n = 2, l = 1, ml = 0arrow_forwardIdentify the subshell in which electrons with the following quantum numbers are found (a) n = 2, l = 1 (b) n = 4, l = 2 (c) n = 6, l = 0 (d) n = 3, l = 2 (e) n = 4, l = 3arrow_forward
- How many unpaired electrons are there in the following ground-state atoms and ions? For each one, show work on how you arrived at your answer. (a) N (b) P 3- (c) Na+arrow_forwardWhat is the orbital angular momentum (as multiples of h) of an electron in the orbitals (a) 1s. (b) 3s. (c) 3d. (d) 2p. (e) 3p? Give the numbers of angular and radial nodes in each case.arrow_forwardWhat is the orbital angular momentum (as multiples of hbar)of an electron in the orbitals (a) 4d (b) 2p (c) 3p? Provide the numbers of angular and radial nodes in each case.arrow_forward
- Give the notation (using letter designations for l) for the subshells denoted by the following quantum number. (Enter your answer in the format of 5p for 5p.) (a) n = 4, l = 0(b) n = 1, l = 0(c) n = 5, l = 3(d) n = 5, l = 2arrow_forwardHow many electrons in an atom can have each of the following quantum number or sublevel designations?(a) n = 2, l = 1 (b) 3d (c) 4sarrow_forwardConsider the following energy levels of a hypothetical atom:E4 −2.31 × 10−19 JE3 −7.11× 10−19 JE2 −1.15 × 10−18 JE1 −1.65 × 10−18 J (a) What is the wavelength of the photon needed to excite an electron from E1 to E4?(b) What is the energy (in joules) a photon must have in order to excite an electron from E2 to E3? (c) When an electron drops from the E3 level to the E1 level, the atom is said to undergo emission. Calculate the wavelength of the photon emitted in this process.arrow_forward
- Chemistry for Engineering StudentsChemistryISBN:9781337398909Author:Lawrence S. Brown, Tom HolmePublisher:Cengage Learning