“Implications of Historical Trends in the Electrical Efficiency of Computing”, Jonathan G. Koomey, Stephen Berard, Marla Sanchez, Henry Wong2011-07 (, , )⁠:

[Koomey’s law]The electrical efficiency of computation has doubled roughly every year and a half for more than 6 decades, a pace of change comparable to that for computer performance and electrical efficiency in the microprocessor era.

Figure 3: Computations per kilowatt-hour over time. These data include a range of computers, from PCs to mainframe computers and measure computing efficiency at peak performance. Efficiency doubled every 1.57 years 1946–63200915ya.

These efficiency improvements enabled the creation of laptops, smart phones, wireless sensors, and other mobile computing devices, with many more such innovations yet to come.

The Web Extra appendix outlines the data and methods used in this study.