point. An image is formed with significant coma, field curvature, and other optical aberrations inherent to spherical lenses. The refractive index of typical materials used for crystal balls (quartz: 1.46, window glass: 1.52), produces a central focal point just outside the surface of the sphere, on the side diametrically opposite to where the rays entered. For materials with refractive index greater than 2, the focus will be located inside the sphere. In this case the image is not directly accessible, while the closest accessible point is on its surface directly opposite the source of light. However, few materials have a refractive index this high. For a refractive index of 2, the image forms on the surface of the sphere, and the image may be viewed on an translucent object or diffusing coating on the imaging side of the sphere. Since a crystal ball has no edges like a conventional lens, the image-forming properties are omnidirectional (independent of the direction being imaged). This effect is exploited in the Campbell–Stokes recorder, a scientific instrument which records the brightness of sunlight by burning the surface of a paper card bent around the sphere. The device, itself fixed, records the apparent motion and intensity of the sun across the sky, burning an image of the sun's motion across the card. The omnidirectional burning glass effect can occur with a crystal ball that is brought into full sunlight. The image of the sun formed by a large crystal ball will burn a hand that is holding it, and can ignite dark-coloured flammable material placed near it. Famous crystal balls in history A crystal ball lies in the Sceptre of Scotland that is said to have been originally possessed by pagan druids. Philadelphia's University of Pennsylvania Museum of Archaeology and Anthropology (also called Penn Museum for short) displays the third largest crystal ball as the central object in its Chinese Rotunda. Weighing , the sphere is made of quartz crystal from Burma and was shaped through years of constant rotation in a semi-cylindrical container filled with emery, garnet powder, and water. The ornamental treasure was purportedly made for the Empress Dowager Cixi (1835-1908) during the Qing dynasty in the 19th century, but no evidence as to its actual origins exists. In 1988, the crystal ball and an ancient Egyptian statuette which depicted the god Osiris were stolen from the Penn Museum but were recovered three years