The stories behind them are as priceless as the gems themselves. In a 2002 memoir, “My Love Affair with Jewellery,” Taylor took readers on a personal journey of her collection, describing in her own words how she came to own each piece.

“I never, never thought of my jewellery as trophies,” she wrote. “I’m here to take care of them and to love them. . When I die and they go off to auction I hope whoever buys them gives them a really good home.”

It’s an extraordinary collection of rubies, diamonds, emeralds and sapphires in intricate and bold designs.

Royal jewels

Among the standouts is the 16th-century La Peregrina, one of the largest and most symmetrically perfect pear-shaped pearls in the world, which Burton purchased for Taylor in 1969 as a Valentine’s Day gift.

The two had met in Italy on the set of the 1963 film “Cleopatra,” and married for the first time in 1964.

Once part of the Crown Jewels of Spain, the pearl later passed into the hands of Joseph Bonaparte, Napoleon III and the Duke of Abercorn.

When it came up at auction in New York, Burton snapped it up for $37,000, beating out the underbidder, a member of the Spanish Royal family.

Cartier later created a ruby and diamond necklace from which the pearl was suspended, a design that was inspired by the famous Velazquez portraits of Spain’s Queen Margarita and Queen Isabel wearing the pearl as a necklace.

It is estimated to fetch $2 million to $3 million.

Taylor, who was married eight times — twice to Burton — died in March at age 79. The couple appeared together in about a dozen films, including “Who’s Afraid of Virginia Woolf?” in which Taylor played an alcoholic shrew in an emotionally sadomasochistic marriage.

Burton was enamored of historical pieces, and in 1972 purchased the famous 17th-century Taj Mahal diamond pendant for Taylor’s 40th birthday. The transaction took place at John F. Kennedy International Airport because the couple didn’t have time to run into the city before catching a plane, said Kadakia.

The heart-shaped diamond is associated with one of history’s greatest love stories. It belonged to Emperor Shah Jahangir, who had the diamond inscribed with his wife’s name “Nur Jahan.” He later passed the stone on to his son, Shah Jahan, who built the Taj Mahal in memory of his wife Mumtaz, who died in childbirth.

“I would have liked to buy her the Taj Mahal but it would cost too much to transport,” Burton remarked after buying it.

Cartier later recreated the diamond’s original silk cord as a gold rope-like necklace set with rubies and diamonds.

The necklace has a pre-sale estimate of $300,000 to $500,000.

“Jewellery was a way of life for Elizabeth Taylor. They were her friends. She enjoyed wearing them and it gave her a lot of pleasure because they reminded her of the great moments in her life, the great places in her life,” Kadakia said.

Like the time Taylor’s third husband, theater and film producer Mike Todd, presented her with a red leather Cartier box as she sat by the pool at a rented villa in the south of France.

Inside was a ruby necklace, matching earrings and bracelet.

“She was so, so happy that she jumped into the pool wearing all this jewellery and started doing laps,” said Kadakia, adding that the pieces will be sold separately.

One of the most extravagant gifts Taylor received from Burton was the asscher-cut 33.19-carat diamond set in a platinum ring. Known as the Elizabeth Taylor Diamond, Kadakia said its size and clarity — “as white as they can be and potentially flawless” makes it a perfect gem.

Burton purchased it in 1968 at a New York auction for $305,000. At the December sale, it’s expected to fetch $2.5 million to $3.5 million.

“Elizabeth Taylor used to refer to it as her baby and wore it as much and as often as she could,” said Kadakia, including in nearly all her subsequent films.

Among the pieces of jewellery that Taylor purchased for herself was the Duchess of Windsor diamond brooch, which she got at auction for $620,000. Kadakia said she paid a big price for it for two reasons, to remember her friend and because the proceeds were going to a cause dear to her, AIDS research.

The brooch is estimated to bring $400,000 to $600,000.

Iconic jewellery

Eighty of the most iconic pieces will be sold on the evening of 13 December. The following day, 189 more gems will be sold. About 500 pieces of Taylor’s costume jewellery will be sold online at the same time.

Christie’s also will be selling the star’s haute couture and ready-to-wear fashion, accessories, 20th-century decorative arts and film memorabilia from her Bel Air home on Dec. 14-16. Details have not been released.

Christie’s said the top 80 jewellery pieces will be shipped prior to the auction to Geneva, Paris, Hong Kong, Dubai and Los Angeles; many of them also will be shown in London and Moscow. Serious collectors will be able to try on the jewellery by appointment.

The entire collection will be exhibited from 3-10 December at Christie’s New York galleries.

A portion of the proceeds from the exhibition admissions and publications related to the sales will be donated to The Elizabeth Taylor AIDS Foundation. Proceeds from the auctions will go to Taylor’s estate.