Online bids for the 22 items can be placed between 31 October and 8 November.
The online sale announced on Monday by auctioneer Christie's features 22 items from Professor Hawking, including his doctoral thesis on the origins of the universe, some of his many awards and scientific papers such as Spectrum of Wormholes and Fundamental Breakdown of Physics in Gravitational Collapse.
Only five copies of the Ph.D. thesis exist - although a digital copy was made available online for free by Cambridge University Library's Open Access Week previous year. Its pre-sale estimated value is between $12,600 and $18,900.
Other Hawking items up for auction include a copy of "A Brief History of Time" signed with his thumb, expected to fetch between £2,000 and £3,000. He communicated through a voice-generating computer and moved in a series of high-tech wheelchairs.
"He was diagnosed with ALS (amyotrophic lateral sclerosis) just as he arrived in Cambridge to begin his PhD studies", Mr Venning said.
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Prof Hawking's daughter, Lucy Hawking, said: "We are very pleased to have the assistance of Christie's to help us with the important matter of managing our beloved father's archives and his unique and precious collection of personal and professional belongings, chronicling his life and work". Proceeds from its sale will go to two charities, the Stephen Hawking Foundation and the Motor Neurone Disease Association.
Daughter Lucy Hawking has noted that, through the auction, fans of the scientist will get the chance to become owners of the relics, reminding about the unusual life of a theoretical physicist.
The Acceptance in Lieu (AIL) scheme, administered by Arts Council England, enables taxpayers to pay inheritance tax by transferring important works of art and other important heritage objects into public ownership.
Christie's auction house is gearing up for next week's "On the Shoulders of Giants" event, highlighting the work of Sir Isaac Newton, Charles Darwin, Albert Einstein, and Stephen Hawking. According to a statement by the Christie's, Hawking's "mischievous attitude" to piloting his wheelchair became legendary, both in Cambridge and further afield.
On any day of the year, you could pick up Hawking's 1988 bestseller A Brief History of Time: From the Big Bang to Black Holes for less than 20 bucks at most bookshops. (AP Photo/Frank Augstein) A Book, written and corrected with handwritten annotation by Stephen Hawking is one of the personal and academic possessions of Stephen Hawking, photo behind, on display at the auction house Christies in London, Friday, Oct. 19, 2018.