Three-dimensionally stretchable single crystalline semiconductor membrane

A wearable device comprising:

• a three-dimensionally stretchable single crystalline semiconductor membrane located directly on a first surface of a dielectric oxide layer, wherein the three-dimensionally stretchable single crystalline semiconductor membrane has a wavy surface and is configured for direct application to skin of a human or tissue of a human;
• and
• a stretchable carrier substrate located directly on a second surface of the dielectric oxide layer, wherein the second surface is opposite the first surface, wherein the first surface of the dielectric oxide layer is wavy and the second surface of the dielectric oxide layer is entirely planar, and wherein the wavy surface of the single crystalline semiconductor membrane forms an interface with the first surface of the dielectric oxide layer.