## What is the effective mass of free electron?

For electrons or electron holes in a solid, the effective mass is usually stated in units of the rest mass of an electron, me (9.11×10−31 kg).

## What is effective mass obtain its formula?

This mass of an electron is called the effective mass of an electron, denoted as m*. The effective mass is thus determined by d 2E/dK 2.

What is the difference between mass and effective mass?

Answer: Free electron mass is the actual mass of an electron which is equal to kilograms. Effective mass is the mass that a particle seems to have when it is interacting with other particles.

Is effective mass equal to rest mass?

But when mass of electron is effected by electrostatic attraction,phonon vibrations and resistivity electron mass is larger than 9.1×10^-31kg due to effective mass.So effective mass and original mass of electron are not equal.

### What is effective mass of a spring?

The effective mass of the spring in a spring-mass system when using an ideal spring of uniform linear density is 1/3 of the mass of the spring and is independent of the direction of the spring-mass system (i.e., horizontal, vertical, and oblique systems all have the same effective mass).

### How do you find the effective mass of an electron?

The effective mass is determined by the band structure E(k). It can be calculated by mij-1= (2pi/h)2 d2E/d2kij. Furthermore, it can be measured by cyclotron resonanz.

How do you find the effective mass of holes and electrons?

the effective mass is determined by the band structure E(k). It can be calculated by mij-1 = (2pi/h)2d2E/dkij2. Furthermore, it can be measured by cyclotron resonanz.

What do you mean by negative effective mass?

The negative effective mass tells you that the electron responds to the field opposite to how a free electron would. Physically, the fact that the electron accelerates opposite to the direction of the force is because the electron must reflect off the zone boundary.

#### Why effective mass of hole is greater than electron?

The effective mass is a result of electron interaction with lattice, i.e. with phonons. As the hole velocity is smaller, a hole spends more time in the interaction region, i.e. holes strongly interact with phonons. This leads to larger effective mass.

How do you find the effective mass of a spring on a graph?

That means x coordinate of the point is equal to the negative value of the effective mass. So, if we draw a T2 vs. mo graph, it will be a straight line and its x-interception gives us the effective mass of the spring.

What is the mass of a spring?

be the extension of the spring: that is, the difference between the spring’s actual length and its unstretched length. can also be used as a coordinate to determine the instantaneous horizontal displacement of the mass. Figure 1: Mass on a spring.

## What is the effective mass of a vertical spring?

The effective mass of the spring in a spring-mass system when using an ideal spring of uniform linear density is 1/3 of the mass of the spring and is independent of the direction of the spring-mass system (i.e., horizontal, vertical, and oblique systems all have the same effective mass).

## What is the spring mass system in physics?

We introduce a one-dimensional coordinate system to describe the position of the mass, such that the x axis is co-linear with the motion, the origin is located where the spring is at rest, and the positive direction corresponds to the spring being extended. This “spring-mass system” is illustrated in Figure 13.1.

What is the net force of a spring on a mass?

where x is the position of the mass. The only other forces exerted on the mass are its weight and the normal force from the horizontal surface, which are equal in magnitude and opposite in direction. Therefore, the net force on the mass is the force from the spring.

What is the maximum speed of a spring with double amplitude?

If you double the amplitude of the motion of a mass attached to a spring, its maximum speed will be: 1 double. 2 2 times greater. 3 the same. 4 halved. More