How to create RadioButton(Choice) Column in List Client side

Question

Hello Team,
       I am trying to do SharePoint hosted APP's ,In that i want to create client side list, in that list i am having one choice column how to do that in client side ,the fallowing is the server side code.

 if (!AnnouncementList.Fields.ContainsField("Publish To"))

                {

                    //adding new column PublishTo                            

                    String Publishtofield = AnnouncementList.Fields.Add("Publish To", FieldType.Choice, false);

                    FieldChoice Pubtofield = (FieldChoice)AnnouncementList.Fields.GetFieldByInternalName(Publishtofield);

                    string[] Publishtypes = { "Groups", "Organization" };

                    Pubtofield.EditFormat = ChoiceFormatType.RadioButtons;

                    Pubtofield.Title = "Publish To";

                    Pubtofield.StaticName = "PublishTo";

                    Pubtofield.ShowInListSettings = true;

                    Pubtofield.ShowInDisplayForm = true;

                    Pubtofield.ShowInEditForm = true;

                    Pubtofield.ShowInViewForms = true;

                    Pubtofield.ShowInNewForm = true;

                    Pubtofield.DefaultValue = "Groups";

                    Pubtofield.Choices.AddRange(Publishtypes);

                    Pubtofield.Update();

                    AnnouncementList.Update();

                }

           

               

                  if(!AnnouncementList.Fields.ContainsField("Publish"))

                {

                    //adding new column Publish

                  string Pubfield = AnnouncementList.Fields.Add(<Field Type='Choice' DisplayName='Publish To'/>);

                    FieldUser user = new FieldUser(AnnouncementList.Fields, Pubfield);

                    user.SelectionMode = SPFieldUserSelectionMode.PeopleAndGroups;

                    user.AllowMultipleValues = true;

                    user.ShowInListSettings = true;

                    user.ShowInDisplayForm = true;

                    user.ShowInEditForm = true;

                    user.ShowInViewForms = true;

                    user.ShowInNewForm = true;

                    user.Update();

                    AnnouncementList.Update();

                }

Normal Field i am added using this,
AnnouncementList.Fields.AddFieldAsXml("<Field Type='DateTime' DisplayName='Publish Date'/>", true, AddFieldOptions.DefaultValue);

Please give any examples or for that client code .

Thank's,
Lakshmi.