The radius of the orbit, the energy of the system and the velocity of the electron, I am just going to present you the solutions.
是轨道的半径,系统的能量,以及电子的速度,我接下来会给你们讲解其方程的解法。
If de Broglie is correct, we could then model the electron in its orbit not moving as a particle, but let's model it as a wave.
如果德布罗意是对的,那么我们可以在电子轨道中建立电子模型,不是像粒子一样运动,而是像波一样运动。
Let's imagine this is the electron in its orbit.
想象一下,电子在它的轨道中。
In order to have an electron in a stationary orbit this implies standing wave.
为了在静止的轨道中拥有电子,驻波是不可少的。
It is the value of the radius of the ground state electron orbit in atomic hydrogen.
它就代表氢原子基态电子,的轨道半径。
Well, suppose I want to look at something like an electron in orbit here.
假如我想看到,轨道上像电子一样的东西。
That is the electron in its lowest orbit, to the nucleus of atomic hydrogen.
那就是氢原子原子核外电子,最低轨道到情况。
I am going to say if that electron is to stay in its orbit, that is to say it doesn't flee the atom, it doesn't collapse under the nucleus then the sum of the forces on the electron must be zero No net force. And so that will be the sum of a dynamic force plus an electrostatic.
如果电子会保持在它的轨道上运行,既不脱离原子的话,它就不会由于原子核对它的吸引力而被瓦解掉,电子所受的合力一定为零,由于没有合力,所以电子所受力为动态力和静电力的总和。
n So the velocity is given by this product of the quantum number n Planck constant 2 pi mass of the electron time the radius of the orbit, which itself is a function of n.
速度是量子数,普朗克常数2π乘以轨道半径的值,它自身也是n的函数。
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