Question

The potential energy for the interaction between the two atoms in a diatomic molecule is U(x,y,z)=13∗cosy∗sinz−y∗sinx+8∗z+z²/3. Find the components of the force corresponding to this potential energy Fx: Fy: Fz:

Answer 1

The components of the force corresponding to the potential energy function are Fx = sin(x), Fy = -13 * sin(y) * sin(z) + sin(x), and Fz = 13 * cos(y) * cos(z) + 8 + 2z/3.

Step-by-step explanation:

The components of the force corresponding to the potential energy can be found by taking the negative gradient of the potential energy function. In other words, we need to find the partial derivatives of the potential energy function with respect to x, y, and z, and then multiply them by -1.

The components of the force Fx, Fy, and Fz are:

Fx = -dU/dx = sin(x)

Fy = -dU/dy = -13 * sin(y) * sin(z) + sin(x)

Fz = -dU/dz = 13 * cos(y) * cos(z) + 8 + 2z/3