Homework Answers
Add Answer to:
Using mathematica please help me solve this For a radial wavefunction of the form Rn() of the one-electron atom graph the following function for n-2, 1-0: 1 ao And n = 2, l=1 Using an angular wa...
A spherical harmonic function is the angular part of the wavefunction of an electron in hydrogen...
A spherical harmonic function is the angular part of the wavefunction of an electron in hydrogen atom. In the state (5, 4, -2), it is the following, Y^4_-2(theta, phi) = 3/8 Squareroot 5/2 pi exp[-2 i phi] sin^2 theta (7 cos^2 theta-1) A. What is the most probable angle theta to find the electron? If there are more than one angle, please enter one of the correct answers. B. What is the most probable angle phi to find the electron?...
Consider a trial wavefunction for an electron in H atom in the following form •(r) =...
Consider a trial wavefunction for an electron in H atom in the following form •(r) = re-ar where a is an adjustable parameter. Optimize a so that you obtain the minimum energy (i.e., find the extremum by imposing (E) = 0). How does the minimum energy compare to the ground state energy of an electron? Hint: n! for a>0 A nEN ne-andc= +1 Integration of function f(r, 0,6) in spherical coordinates: $*$*$* $(1,0, 6)r? sin ødødødr f(,0,)ra sin døddr
Consider a trial wavefunction for an electron in H atom in the following form º(r) =...
Consider a trial wavefunction for an electron in H atom in the following form º(r) = re-ar where a is an adjustable parameter. Optimize a so that you obtain the minimum energy (i.e., find the extremum by imposing .. (E) = 0). How does the minimum energy compare to the ground state energy of an electron? Hint: n! IX"e-ax dx = for α> 0 Δ η Ε Ν an+1 Integration of function f(r,0,0) in spherical coordinates: - po T 27...
*PLEASE DO IN MATHEMATICA* {:1, ifr+ 13. Consider the function f(x)- nction,f(x)-e-r/rifx#0 a. Plot the graph of this function using Mathematica. b. Use the limit definition of the derivative and LHo...
*PLEASE DO IN MATHEMATICA*
{:1, ifr+ 13. Consider the function f(x)- nction,f(x)-e-r/rifx#0 a. Plot the graph of this function using Mathematica. b. Use the limit definition of the derivative and LHopital's Rule to show that every higher-order derivative of f at r 0 vanishes. c. Find the MacLaurin series for f. Does the series converge to f?
{:1, ifr+ 13. Consider the function f(x)- nction,f(x)-e-r/rifx#0 a. Plot the graph of this function using Mathematica. b. Use the limit definition of...
2. The hydrogen atom [8 marks] The time-independent Schrödinger equation for the hydrogen atom in...
2. The hydrogen atom [8 marks] The time-independent Schrödinger equation for the hydrogen atom in the spherical coordinate representation is where ao-top- 0.5298 10-10rn is the Bohr radius, and μ is the electon-proton reduced mass. Here, the square of the angular momentum operator L2 in the spherical coordinate representation is given by: 2 (2.2) sin θー sin θ 00 The form of the Schrödinger equation means that all energy eigenstates separate into radial and angular motion, and we can write...
1) (35 points) The wave function for a particle moving along x axis between the limits 0 and L is: (x)-C sin (nx xL) where n are 1, 2, 3, A) Determine the normalization constant C B) Why can'...
1) (35 points) The wave function for a particle moving along x axis between the limits 0 and L is: (x)-C sin (nx xL) where n are 1, 2, 3, A) Determine the normalization constant C B) Why can't n take the value of 0, briefly explain C) For n-3 determine the values of x (in terms of L) that correspond to a maximum or a minimum in the wave function D) For n-3 determine the values of x (in...
please explain and do in matlab Problem 3. Consider the function f(x) e cos(2r). (1) Sketch its graph over the interval [0, m) by the following commands: (2) Using h = 0.01 π/6 in [0, π]. The comm...
please explain and do in matlab
Problem 3. Consider the function f(x) e cos(2r). (1) Sketch its graph over the interval [0, m) by the following commands: (2) Using h = 0.01 π/6 in [0, π]. The commands are: to compute the difference quotient for z And the difference quotient is: ( 6 (3) Using h-0.01 to approximate the second derivative by computing the difdifquo for in [0, π). The commands are: And the difdifquo is:
Problem 3. Consider the...
#1 please and the answer should be in the form of a piecewise function (2n 1)2nn! 2 V2T n=0 Since this is an alterna...
#1 please and the
answer should be in the form of a piecewise function
(2n 1)2nn! 2 V2T n=0 Since this is an alternating series (because the parity on the power on x means that will always have the same sign as r), then we can always use the estimates on alternating series which are quite strong to compute values of this sum Problems 1.)Find the probability density function for the random variable representing picking a random real number between...
question b please Consider the following function f(x) -x6/7, a-1, n-3, 0.7 sx 1.3 (a) Approximate f by a Taylor polynomial with degree n at the number a 343 (b) Use Taylor's Inequality to estimat...
question b please
Consider the following function f(x) -x6/7, a-1, n-3, 0.7 sx 1.3 (a) Approximate f by a Taylor polynomial with degree n at the number a 343 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ,(x) when x lies in the given interval. (Round your answer to eight decimal places.) IR3(x)0.00031049 (c) Check your result in part (b) by graphing Rn(x)l 2 1.3 0.00015 0 0.9 1.0 11 -0.00005 0.00010 -0.00010 0.00005 0.00015 0.8...
where lo, l1 are the angular momentum quantum numbers for the lower and upper states respectively of the atomic transition (s,p, d,...or 1-0, 1, 2, . . .). For example, for the 4s-3p transition for s...
where lo, l1 are the angular momentum quantum numbers for the lower and upper states respectively of the atomic transition (s,p, d,...or 1-0, 1, 2, . . .). For example, for the 4s-3p transition for sodium (see Fig. 1 below) has n0-3, nı = 4, 10-1, 11-0 Transition levels of Sodium 6s 4.0 d series s series 2. Ep-3 p series Figure T: Transition levels for the neutral sodium atom The 3p-3s transition produces strong yellow emission spectral lines called...
A spherical harmonic function is the angular part of the wavefunction of an electron in hydrogen atom. In the state (5, 4, -2), it is the following, Y^4_-2(theta, phi) = 3/8 Squareroot 5/2 pi exp[-2 i phi] sin^2 theta (7 cos^2 theta-1) A. What is the most probable angle theta to find the electron? If there are more than one angle, please enter one of the correct answers. B. What is the most probable angle phi to find the electron?...
Consider a trial wavefunction for an electron in H atom in the following form •(r) = re-ar where a is an adjustable parameter. Optimize a so that you obtain the minimum energy (i.e., find the extremum by imposing (E) = 0). How does the minimum energy compare to the ground state energy of an electron? Hint: n! for a>0 A nEN ne-andc= +1 Integration of function f(r, 0,6) in spherical coordinates: $*$*$* $(1,0, 6)r? sin ødødødr f(,0,)ra sin døddr
Consider a trial wavefunction for an electron in H atom in the following form º(r) = re-ar where a is an adjustable parameter. Optimize a so that you obtain the minimum energy (i.e., find the extremum by imposing .. (E) = 0). How does the minimum energy compare to the ground state energy of an electron? Hint: n! IX"e-ax dx = for α> 0 Δ η Ε Ν an+1 Integration of function f(r,0,0) in spherical coordinates: - po T 27...
*PLEASE DO IN MATHEMATICA*
{:1, ifr+ 13. Consider the function f(x)- nction,f(x)-e-r/rifx#0 a. Plot the graph of this function using Mathematica. b. Use the limit definition of the derivative and LHopital's Rule to show that every higher-order derivative of f at r 0 vanishes. c. Find the MacLaurin series for f. Does the series converge to f?
{:1, ifr+ 13. Consider the function f(x)- nction,f(x)-e-r/rifx#0 a. Plot the graph of this function using Mathematica. b. Use the limit definition of...
2. The hydrogen atom [8 marks] The time-independent Schrödinger equation for the hydrogen atom in the spherical coordinate representation is where ao-top- 0.5298 10-10rn is the Bohr radius, and μ is the electon-proton reduced mass. Here, the square of the angular momentum operator L2 in the spherical coordinate representation is given by: 2 (2.2) sin θー sin θ 00 The form of the Schrödinger equation means that all energy eigenstates separate into radial and angular motion, and we can write...
1) (35 points) The wave function for a particle moving along x axis between the limits 0 and L is: (x)-C sin (nx xL) where n are 1, 2, 3, A) Determine the normalization constant C B) Why can't n take the value of 0, briefly explain C) For n-3 determine the values of x (in terms of L) that correspond to a maximum or a minimum in the wave function D) For n-3 determine the values of x (in...
please explain and do in matlab
Problem 3. Consider the function f(x) e cos(2r). (1) Sketch its graph over the interval [0, m) by the following commands: (2) Using h = 0.01 π/6 in [0, π]. The commands are: to compute the difference quotient for z And the difference quotient is: ( 6 (3) Using h-0.01 to approximate the second derivative by computing the difdifquo for in [0, π). The commands are: And the difdifquo is:
Problem 3. Consider the...
#1 please and the
answer should be in the form of a piecewise function
(2n 1)2nn! 2 V2T n=0 Since this is an alternating series (because the parity on the power on x means that will always have the same sign as r), then we can always use the estimates on alternating series which are quite strong to compute values of this sum Problems 1.)Find the probability density function for the random variable representing picking a random real number between...
question b please
Consider the following function f(x) -x6/7, a-1, n-3, 0.7 sx 1.3 (a) Approximate f by a Taylor polynomial with degree n at the number a 343 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ,(x) when x lies in the given interval. (Round your answer to eight decimal places.) IR3(x)0.00031049 (c) Check your result in part (b) by graphing Rn(x)l 2 1.3 0.00015 0 0.9 1.0 11 -0.00005 0.00010 -0.00010 0.00005 0.00015 0.8...
where lo, l1 are the angular momentum quantum numbers for the lower and upper states respectively of the atomic transition (s,p, d,...or 1-0, 1, 2, . . .). For example, for the 4s-3p transition for sodium (see Fig. 1 below) has n0-3, nı = 4, 10-1, 11-0 Transition levels of Sodium 6s 4.0 d series s series 2. Ep-3 p series Figure T: Transition levels for the neutral sodium atom The 3p-3s transition produces strong yellow emission spectral lines called...
Most questions answered within 3 hours.
-
In this exercise, we will be refactoring a working program. Code
refactoring is a process to...
asked 1 hour ago -
3
researchers at Cambrige looked at 5,000 firms in Englans and found
that, in terms of...
asked 1 hour ago -
why it is important and how it integrates within ERP? And what
the core challenges of...
asked 3 hours ago -
A strawberry farmer determines that the average weight of
individual strawberries produced by plants in his...
asked 3 hours ago -
Chargaff's results yielded a molar ratio of 0.400 for A to G in
avian tubercle bacillus...
asked 5 hours ago -
Which of the following binds ATP/ADP?
a. microfilaments
b. microtubules
c. intermediate filaments
d. microfilaments and...
asked 5 hours ago -
Assume that the situation can be expressed as a linear cost
function. Find the cost function....
asked 7 hours ago -
(Sort ArrayList) Write the following method that sorts an
ArrayList: public static > void sort(ArrayList list)...
asked 8 hours ago -
2) A 9 volt battery is connected to a parallel plate capacitor
with an initial capacitance...
asked 7 hours ago -
Prince Equipment has to decide whether to obtain $1,000,000 of
financing by: (1) selling common stock...
asked 8 hours ago -
The terms electrical and electronic have similar but
different meanings which of the following statement is...
asked 8 hours ago -
You wish to test the claim that the mean GPA of night students
is than 2.5...
asked 9 hours ago