Deck 8: Nonlinear Eis

Question 1

The value of modified Bessel function of zeroth order, at x= 0 , i.e. I₀(0) is ______

Answer 1

1 (exact)

Question 2

Taylor series expansion of sin(x) at x=0, in terms of 'x' is given by

A) $$x + \frac { x ^ { 3 } } { 3 } + \ldots$$
B) $$x - \frac { x ^ { 3 } } { 3 ! } + \ldots$$
C)
$$x - \frac { x ^ { 3 } } { 3 } + \ldots$$
D) $$x + \frac { x ^ { 3 } } { 3 ! } + \ldots$$

Answer 2

$$x - \frac { x ^ { 3 } } { 3 ! } + \ldots$$

Question 3

If EIS data is acquired immediately after applying the perturbations, data will not KKT complaint. This is because response violates the condition of

A) linearity
B) stability
C) causality
D) all of the above

Answer 3

B

Question 4

For an electrochemical system, when perturbation amplitude E_ac0 is increased, the nonlinear polarization resistance will

A) increase
B) decrease
C) can increase or decrease
D) will remain constant

Question 5

A given electrochemical system at a given dc potential (E_dc), a direct current (i_dc), is recorded. When an ac perturbation is applied, the average current under steady-periodic conditions will be the same as i_dc. ?

Question 6

For a given reaction, impedance under pseudo galvanostatic mode can be calculated using

A) Taylor series expansion
B) Fourier series expansion
C) numerical method
D) all of the above.

Question 7

If an electrochemical system is unstable, the effects manifest in impedance spectra mainly at

A) low frequencies
B) mid frequencies
C) high frequencies
D) all of the above

Question 8

An electrochemical reaction is characterized using EIS. In the first experiment, the solution resistance is made negligible by the addition of supporting electrolyte. In the second experiment, the solution resistance is large, due to a lack of supporting electrolyte. All other conditions remain the same. The latter case will differ from the former

A) only in Z_Re,
B) only in Z_Im
C) in both Z_Re and Z_Im
D) will not be different.

Question 9

In case of reaction with adsorbed intermediates, when there is repulsion between the adsorbed species, it is best described by

A) Langmuir isotherm
B) Frumkin isotherm
C) Temkin isotherm
D) none of the above

Question 10

Solution resistance can be measured using

A) EIS
B) Linear Polarization,
C) Potentiodynamic Polarization
D) Harmonic analysis

Question 11

In a given system, EIS was acquired at multiple perturbation amplitudes, and all of them yielded the same data. Therefore, higher harmonics are negligible.

Question 12

In linear polarization measurement, the slope of current to potential yields

A) R_p
B) R_sol
C) R_p+R_sol
D) R_p-R_sol.

Question 13

In NLEIS, frequency response function (FRF)

A) increase with E_ac0,
B) decrease with E_ac0
C) can increase or decrease with E_ac0
D) are independent of E_ac0

Question 14

Taylor series expansion of cos(x) at x=0, in terms of 'x' is given by

A) $$1 - \frac { x ^ { 2 } } { 2 ! } + \frac { x ^ { 4 } } { 4 ! } - \ldots$$
B) $$1 - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 4 } } { 4 } - \ldots$$
C) $$1 + \frac { x ^ { 2 } } { 2 ! } + \frac { x ^ { 4 } } { 4 ! } - \ldots$$
D) $$1 + \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 4 } } { 4 } - \ldots$$

Question 15

When EIS is acquired experimentally, it is desirable to apply sinusoidal perturbation and acquire data after some time because

A) system response would be steady periodic
B) the signal to noise will be better
C) both of the above
D) none of the above

Question 16

When EIS is acquired experimentally, it is desirable to acquire data for multiple cycles because

A) system response would be steady periodic
B) the signal to noise will be better
C) both of the above
D) none of the above

Question 17

For a reaction with one or more intermediates, at a given perturbation amplitude, the amplitude of oscillation in fractional surface coverage

A) decreases with frequency
B) increases with frequency
C) can increase or decrease with frequency
D) is independent of frequency

Question 18

The effect of instabilities on EIS data can be identified using ______ (one word)

Question 19

Empirical evidence suggests that direct integration of KKT relations will not flag EIS acquired under large-signal conditions, if

A) current potential relationship is exponential
B) current potential relationship is linear
C) both of the above
D) none of the above

Question 20

In case of reaction with adsorbed intermediates, when some sites are energetically favorable compared to other sites, it is best described by

A) Langmuir isotherm
B) Temkin isotherm
C) Frumkin isotherm
D) none of the above

Question 21

Even if there is no reaction at a particular condition in a given system, second harmonics can arise if the double-layer is described by

A) Helmholtz model
B) Gouy-Chapman model
C) Stern model
D) none of the above

Question 22

Corrosion current can be obtained using

A) Tafel extrapolation
B) EIS
C) Electrochemical Frequency Modulation
D) Linear Polarization

Question 23

Polarization resistance can be obtained from

A) Cyclic voltammetry
B) EIS
C) chrono amperometry
D) Linear Polarization

Question 24

Using potentiodynamic polarization data, the nonlinear polarization resistance can be estimated.

Question 25

Total harmonic distortion is calculated using

A) magnitude and phase at fundamental and higher harmonics
B) magnitude of fundamental and higher harmonics
C) magnitude and phase of higher harmonics only
D) magnitude of higher harmonics only

Question 26

Charge transfer resistance can be obtained from

A) Cyclic voltammetry
B) EIS
C) chronoamperometry
D) Linear Polarization

Question 27

Standard Tafel extrapolation assumes that the contribution of ______________ resistance to the measured current is negligible. (one word)