I'm a numbskull regarding science, so will simply direct any interested reader to the Wikipedia page on Crick, and to a tribute piece, Remembering the bold and brilliant Francis Crick by Gary Robbins in the San Diego Union-Tribune.
I shall simply take a look at his natal chart. No time of birth is known, so chart is set for 12 noon on 8 June 1916, Northampton, UK. Crick was actually born in a tiny village, Weston Favell, near Northampton, chart is set for Northampton - nearest my software can manage.
From Gary Robbins' piece linked above:
Crick is remembered as a bold, brilliant, boisterous, bigger-than-life figure who expanded beyond genetics to search for a biological basis for human consciousness.Wikipedia (linked above)
Crick was often described as very talkative, with Watson – in The Double Helix – implying lack of modesty. His personality combined with his scientific accomplishments produced many opportunities for Crick to stimulate reactions from others, both inside and outside the scientific world, which was the centre of his intellectual and professional life. Crick spoke rapidly, and rather loudly, and had an infectious and reverberating laugh, and a lively sense of humour. One colleague from the Salk Institute described him as "a brainstorming intellectual powerhouse with a mischievous smile.... Francis was never mean-spirited, just incisive. He detected microscopic flaws in logic. In a room full of smart scientists, Francis continually reearned his position as the heavyweight champ."
Airy Gemini Sun conjunct Mercury: an excellent start for mental acuity, here linked by harmonious trine to Uranus in its own sign of rulership, airy inventive Aquarius, seals the deal. Astrologers would not be in the least surprised to find that a person with this combination would have some manner of mental brilliance, more than likely connected to something new and futuristic (via Uranus). Saturn, the planet said to be connected to things scientific/mathematical/structured, was in Cancer, conjunct Venus and in semi-sextile to Sun/Mercury. Some interpret semi-sextiles as unhelpful, I don't. Though Cancer and Gemini are not seen as particularly compatible as signs go, I interpret this link as indication of the direction this man's brilliance would likely take : into science.
Crick's natal Moon would have been somewhere in Virgo, whatever his time of birth. Virgo is a sign known for meticulous attention to detail, and that attribute is essential in scientific pursuits. Virgo Moon could quite likely have been in helpful sextile to Saturn.
Crick's boisterous personality, loud laughter and general geniality is, I think, nicely represented by boisterous cheerful Jupiter in impetuous Aries.