It appears that unless the difference is not more than one half of one percent

That the Moore campaign will not be able to petition a recount. That option appears to be available only for non-federal elections. It came up on the Rachel Maddow Show but she didn't really go into it.

This is what I found.

Alabama code Section 17-16-20 pertains to automatic recount only.

Section 17-16-21 is Recount Procedures. This procedure provides for how the recount is paid when a person petitions for it and a recount is not automatic.

(a) Any person with standing to contest the election under Sections 17-16-40 and 17-16-47 may petition the canvassing authority for a recount of any or all precinct returns. The time period for requesting a recount begins with the production of the certificate of result and ends 48 hours after the official canvass of county returns. The canvassing authority is the canvassing board in general elections and the county executive committee in a party primary. The petitioner must be prepared to pay the cost of the recount and shall give security to cover these costs. The canvassing authority shall set the amount of the security based upon an estimate of actual costs. The costs shall be kept to a minimum by using county personnel or volunteer workers whenever possible. However, the recount must be conducted under the supervision of a trained and certified precinct election official. Representatives of opposing interests shall be given at least 24 hours' notice and shall be invited to participate in the recount.

The election of any person declared elected to the office of Governor, Secretary of State, Auditor, Treasurer, Attorney General, Commissioner of Agriculture and Industries, Public Service Commissioner, senator or representative in the Legislature, justices of the Supreme Court, judges of the courts of appeals, judge of the circuit court or district court, or any office which is filled by the vote of a single county, or to the office of constable may be contested by any person who was at the time of either of the elections a qualified elector for any of the following causes: