The phenomenon of "magic sun" usually occurs between 5:30 a.m. and 6:00 a.m. or around 9:00 a.m. and also in the evening. However, it generally does not appear at noon, because the sun is direct at noon and does not meet the conditions of refraction. And the light of the sun at noon is too strong. Even if there is this phenomenon, it can not be observed by the naked eye.
The appearance of "magic sun" requires very strict conditions. First, there must be cirrus clouds, which can form ice crystals; Secondly, the clouds should be thin and the transmittance should be better, so as to refract the sunlight; Another important point is that the angle between the sun and ice crystals and the observer should be just right, and it can't be seen if it's a little off. Therefore, the atmospheric optical phenomenon of "magic sun" is extremely rare.
The duration of "magic sun" phenomenon is generally not too long, ranging from a few minutes to tens of minutes. Because the clouds in the air move faster, as soon as the clouds go, the next cloud covers the place where the "magic sun" appears, and you can't see it. Since the magic sun is caused by the refraction of sunlight by regular hexagonal ice crystals in the sky, conditions such as a stable atmosphere, an appropriate amount of clouds, a large amount of water vapor and the formation angle of ice crystals are required.