Terminology  in Mechanisms
                          A  double headed arrow shows movement of a pair of electrons.  In heterolytic cleavage, a bond breaks with  one fragment getting both electrons (anion) and the other fragment getting no  electrons (cation).  In heterogenic bond  formation, a bond that is formed when one reactant donates both electrons.  A single headed arrow shows movement of a  single electron.  In homolytic cleavage,  a bond breaks with each fragment getting one electron (radicals).  In homogenic bond formation, a bond that is  formed when each reactant donates an electron.   In a polar reaction, a nucleophile (electron-rich) species attacks  electrophile (electron-poor) species.
                        SN1  Mechanism
                          In the  slow step, bromide takes the electron pair and departs as leaving group; a  carbocation is formed.  The faster step  is rearrangement, if present.  The fast  step is when a weak nucleophile attacks the carbocation from both sides.  Nucleophile abstracts the extra proton from  the product and the electron pairs move from O-H bond to O.  The rate is equal to k[RX].  The mechanism has first order kinetics.  A pair of enantiomers are formed.  The products are retention and  inversion.  The reaction is not  concerted.  The reactivity of RX is 3o  > 2o > 1o > 0o.  A protic solvent, with intermolecular  hydrogen bonding, is best.  Rearrangement  is possible.
                        SN2  Mechanism
                          Nucleophile  attacks on the carbon, but on the opposite side of the halogen; then bromide  takes its electron pair and leaves.  In  the intermediate, the nucleophile and leaving group are drawn 180o  apart.  The product is inversion.  The reaction is concerted.  The rate is equal to k[RX][Nu].  The reaction has second order kinetics.  The reactivity of RX is 0o > 1o  > 2o > 3o.   An aprotic solvent, without intermolecular hydrogen bonding, is  best.  Rearrangement is not possible.
                        E1  Mechanism
                          Bromide  takes the electron pair and departs as the leaving group, a carbocation is  formed.  The slow step is the formation  of carbocation.  The rate is equal to  k[RX].  The reaction has first order  kinetics.  Weak base abstracts hydrogen on  carbon next to carbocation, then electron pair goes from C-H bond to C-C bond  to form double bond.  The faster step is  rearrangement, if present.  The fast step  is when a weak base abstracts proton from carbon attached to carbocation from  either side.  Both E and Z alkenes will  be formed.  The reactivity of RX is 3o  > 2o> 1o > 0o.  The more substituted product is preferred,  according to Sayteff=s  rule.  A protic solvent best.  Rearrangement is possible.
                        E2  Mechanism
                          A  strong nucleophile abstracts proton from carbon adjacent to carbon with X, but  on opposite side from X.  This is an  example of anti elimination.  C-H electrons  go to C-C bond to form double bond.  C-Br  bond electrons go to Br.  Br leaves with  electron pair.  Both E and Z alkenes may  be formed.  Rotation occurs to get  hydrogen into correct position.  The  reactivity of RX is 3o > 2o > 1o > 0o.  The more substituted product is preferred,  based upon Sayteff=s  rule.  An aprotic solvent is best.  Rearrangement is not possible.
                        
                          Mechanism  for the Addition of Hydrogen Halide to Alkenes
                            The  double bond abstracts proton from HCl.   H-Cl electrons go to Cl.  Cl takes  the electron pair and leaves.  The most  stable carbocation is formed, which is the slow step.  Chlorine attacks carbocation, which is the  fast step.  An alkyl chloride is formed.
                          Mechanism  for the Halogenation of Alkenes
                            Double  bond abstracts Cl from Cl2.   Cl-Cl electrons go to Cl.  Cl  takes the electron pair and leaves.  An  intermediate halonium ion is formed.  Cl  attacks a carbon in the ring, from the side opposite of the halogen.  C-Cl electrons go to Cl.  A dihaloalkane is formed.
                          Mechanism  for the Reaction of a Grignard Reagent with Aldehydes and Ketones
                            Assign  partial charges to the C=O, based on electronegativity.  The oxygen is more electronegative than  carbon.  The electron pair between CH2  and Mg go to CH2.  CH2  attacks electron deficient C of C=O.  The  electrons between C and O go to O.  O  attacks Mg (metal). An intermediate Grignard salt is formed.  O- abstract H from hydronium  ion.  H-O electrons go to O.  Water departs.  An alcohol is formed.
                          Mechanism  for the Reaction of a Primary Amine with Aldehydes and Ketones
                            The O  from the alcohol abstracts a H+.   The electrons in the N attacks the C of the C=O.  A pair of electrons in the C=O bond go to  O.  The electrons from O in H2O  abstract acidic H.  The electrons from  N-H bond go to N.  The electrons in O  abstract H from H3O+.   The electrons in O-H bond go to O.   H2O departs.  O in H2O  abstracts acidic H.  The electrons in N-H  bond go to C-N bond.  The electrons in  C-O bond go to O.  H2O  departs.  An imine is formed.  The imine is reduced to a 2o amine.
                          Mechanism  for Electrophilic Aromatic Substitution
                            The pi  electrons in the benzene attack the electrophile.  Benzene attacking the electrophile is the  slow step. A benzenonium ion is formed from the attack of benzene onto the  electrophile.  Electrons from double bond  attack the carbon-carbon single bond to form a second benzenonium ion.  Electrons from double bond attack the  carbon-carbon single bond to form a third benzenonium ion.  All three of these structures are resonance  structures and can be used interchangeably.   Base abstracts the extra proton from benzenonium ion.  The electrons from the C-H bond go to form  C-C double bond.  The ring becomes  aromatic.  The formation of the benzene  is the fast step.
                          Mechanism  for the Friedel-Craft Alkylation of Benzene
                          The  electrons in the C-Cl bond go to the Cl.   The Cl attacks the Al.  AlCl4-  and alkyl carbocation are formed.  The  electrons in the pi bond of benzene attack the carbocation.  An intermediate benzenonium ion is  formed.  The formation of the benzenonium  ion is the slow step. The Cl takes its electron pair and departs. The Cl in  AlCl4- abstracts the H from the benzenonium ion. The  electrons from the C-H bond go to C-C bond.   The aromatic ring is formed.  The  formation of the aromatic ring is the fast step.
                         
                        Mechanism  of Acid-Base Reactions
                          In  deprotonation, the hydroxide abstracts the acidic proton from the carboxylic  acid.  The electrons from O-H bond go to  O.  A salt of a carboxylic acid and water  are formed.  In protonation, the  electrons in N attack the H of the HCl.   The electrons in H-Cl bond go to Cl.   Cl- departs.  An  ammonium salt is formed.
                        Mechanism  of 1,2-Hydride Shift
                          A  carbocation will rearrange to a more stable carbocation (3o > 2o  > 1o > 0o).  The smallest group from the carbon adjacent  to the carbocation is shifted over.   Electrons from C-H bond go to H.   Electrons from H go to form bond with CH2.  Hydride shift refers to H with a pair of  electrons.  1,2 refers to adjacent  positions and has nothing to do with the numbering of the chain. 
                        Mechanism  of 1,2-Alkyl Shift
                          A  carbocation will rearrange to a more stable carbocation (3o > 2o  > 1o > 0o).  The smallest group from the carbon adjacent  to the carbocation is shifted over.   Electrons from C-H bond go to CH3.  Electrons from CH3 go to form bond  with CH2.  Alkyl shift refers  to alkyl group with a pair of electrons.   1,2 refers to adjacent positions and has nothing to do with the  numbering of the chain.
                        Mechanism  of Carbonyl Compounds with LDA
                          Lithium  diisopropyl amide abstracts acidic α-hydrogen from the carbonyl  compound.  The electrons from C-H bond go  to C.  Diisopropylamine and enolate ion  are formed.  C- attacks C next  to Br.  The electrons from C-Br bond go  to Br.  Br- departs.  α-Substituted ketone and  bromide ion are formed. 
                        Mechanism  for the Addition of Hydride Ion 
                          The  hydride attacks C of the C=O group.  The  electron pair in C=O bond go to O.  An  anion is formed.  O- abstracts  H+.  An alcohol is formed.
                        Radical  Mechanism for the Halogenation of Alkanes
                          In  initiation, homolytic cleavage occurs to product two radicals.  In propagation, one radical is consumed and  another radical is formed.  In  termination, two radicals are consumed to form a stable compound.