He does not like children; can he divorce her so that she can marry someone else and have children with him?
Question

                I am married to a woman who cannot have children. After two years of marriage she wants to have children by means of in vitro fertilization, but I do not want to have any children. Please note that I accepted her as infertile and made it clear to her before marriage that I do not like children, and she agreed to that. Then afterwards she told me: I cannot live like this, but she does not want a divorce. Is it permissible for me to divorce her so that she can look for a husband other than me in the hope that he may be able to help her to have children?.
Praise be to Allah.
      Having children is a right for both husband and wife. If 
      the wife wants to have children but the husband refuses, it is permissible 
      for her to ask for a divorce, because the need to have children is a real 
      need, and there is nothing wrong with the husband divorcing her in the 
      hope that Allah may enable her to have a child with a different husband. 
      But we say that you should understand that having a child is a great 
      blessing and that what you think is more enjoyable, for example, with no 
      children, may be many times better with a child. Children are part of the 
      adornment of this world, as Allah says (interpretation of the meaning)

    “Wealth and children are the adornment of the life of this 
    world. But the good righteous deeds that last, are better with your Lord for 
    rewards and better in respect of hope”

    [al-Kahf 18:46]. 

    If your wife is righteous, religiously committed and of good 
    character, then keeping her is better; perhaps Allah will bless you with a 
    child who will be a delight to you both.  

    There is nothing wrong with having children by artificial 
    fertilization if that is done by taking the husband’s sperm and the wife’s 
    eggs, fertilizing them outside the uterus then implanting the fertilized 
    cells in the wife’s uterus, or taking the husband’s sperm and injecting it 
    into the appropriate location in the wife’s cervix or uterus. 

    There are other forms of artificial fertilization that are 
    haraam. See the answer to question no.
    3474. 

    To sum up: It is permissible for you to divorce your wife so 
    that she will be able to get married to another husband and have the 
    children she wants. But if you keep her and help her to have children by 
    means of permissible kinds of artificial fertilization, that is better. 

    And Allah knows best.